## Area Formulas And Definition

Published in: Mathematics
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• ### Arman R

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Area Formulas
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Rectangle
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Rectangle What is the area formula?
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Rectangle What is the area formula? bh
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Rectangle What is the area formula? bh What other shape has 4 right angles?
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Rectangle What is the area formula? bh What other shape has 4 right angles? Square!
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Rectangle What is the area formula? bh What other shape has 4 right angles? Square! Can we use the same area formula?
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Rectangle What is the area formula? bh What other shape has 4 right angles? Square! Can we use the same Yes area formula?
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Practice! Rectangle Square 10m 14cm
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Answers Rectangle Square 10m 14cm 170 m2 196 cm2
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So then what happens if we cut a rectangle in half? What shape is made?
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Triangle So then what happens if we cut a rectangle in half? What shape is made?
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Triangle So then what happens if we cut a rectangle in half? What shape is made? 2 Triangles
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Triangle So then what happens if we cut a rectangle in half? What shape is made? 2 Triangles So then what happens to the formula?
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Triangle So then what happens if we cut a rectangle in half? What shape is made? 2 Triangles So then what happens to the formula?
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Triangle So then what happens if we cut a rectangle in half? What shape is made? 2 Triangles bh So then what happens to the formula?
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Triangle So then what happens if we cut a rectangle in half? What shape is made? 2 Triangles bh So then what happens to the formula?
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Practice! Triangle 5 ft 14 ft
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Answers Triangle 5 ft 14 ft 35 ft2
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Summary so far„, bh
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Summary so far„, bh
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Summary so far„, bh
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Summary so far„, bh bh
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Summary so far„, bh bh
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Parallelogram Let's look at a parallelogram.
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Parallelogram Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends?
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Parallelogram Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends?
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Parallelogram Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends?
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Parallelogram Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends?
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Parallelogram Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends?
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Parallelogram Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends?
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Parallelogram Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends?
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Parallelogra Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends?
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Parallelogram Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends?
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Parallelogram Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends?
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Parallelogram Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends? What will the area formula be now that it is a rectangle?
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Parallelogram Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends? What will the area formula be now that it is a rectangle? bh
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Parallelogram Be careful though! The height has to be perpendicular from the base, just like the side of a rectangle ! bh
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Parallelogram Be careful though! The height has to be perpendicular from the base, just like the side of a rectangle ! bh
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Parallelogram Be careful though! The height has to be perpendicular from the base, just like the side of a rectangle ! bh
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Rhombus The rhombus is just a parallelogram with all equal sides! So it also has bh for an area formula. bh
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Practice! Parallelogram Rhombus 9 in 3 in 2.7 c 4 cm
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Answers Parallelogram Rhombus 9 in 3 in 2.7 c 4 cm 27 in2 10.8 cm2
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Let's try something new with the parallelogram.
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Let's try something new with the parallelogram. Earlier, you saw that you could use two trapezoids to make a parallelogram.
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Let's try something new with the parallelogram. Earlier, you saw that you could use two trapezoids to make a parallelogram. Let's try to figure out the formula since we now know the area formula for a parallelogram.
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Trapezoid
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Trapezoid
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Trapezoid So we see that we are dividing the parallelogram in half. What will that do to the formula?
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Trapezoid So we see that we are dividing the parallelogram in half. What will that do to the formula? bh
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Trapezoid So we see that we are dividing the parallelogram in half. What will that do to the formula? bh
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Trapezoid But now there is a problem. What is wrong with the base? bh
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Trapezoid So we need to account for the split base, by calling the top base, base 1, and the bottom base, base 2 By adding them together, we get the original base from the parallelogram. The heights are the same, so no problem there. bh
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Trapezoid So we need to account for the split base, by calling the top base, base 1, and the bottom base, base 2 By adding them together, we get the original base from the parallelogram. The heights are the same, so no problem there. base 2 base 1 base 2 2 2)
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Practice! Trapezoid 11m
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Answers Trapezoid 35 m2 5 11m
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Summary so far„, bh
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Summary so far„, bh
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Summary so far„, bh
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Summary so far„, bh bh
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Summary so far„, bh bh
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Summary so far„, bh bh
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Summary so far„, bh bh
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Summary so far„, bh bh
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Summary so far„, bh
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Summary so far„, bh bh
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Summary so far„, bh bh
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Summary so far„, bh bh
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Summary so far„, bh bh
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Summary so far„, bh bh
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Summary so far„, bh bh 2
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Summary so far„, bh bh 2
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Summary so far„, bh bh 2
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Summary so far„, bh bh 2
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Summary so far„, bh bh 2
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Summary so far„, bh bh 2
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So there is just one more left!
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So there is just one more left! Let's go back to the triangle. A few weeks ago you learned that by reflecting a triangle, you can make a kite.
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Kite So there is just one more left! Let's go back to the triangle. A few weeks ago you learned that by reflecting a triangle, you can make a kite.
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Kite Now we have to determine the formula. What is the area of a triangle formula again?
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Kite Now we have to determine the formula. What is the area of a triangle formula again? bh
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Kite Now we have to determine the formula. What is the area of a triangle formula again? bh Fill in the blank. A kite is made up of triangles.
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Kite Now we have to determine the formula. What is the area of a triangle formula again? Fill in the blank. A kite is made up of triangles. bh So it seems we should multiply the formula by 2.
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Kite
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bh *2 2 Kite bh Now we have a different problem. What is the base and height of a kite? The green line is called the symmetry line, and the red line is half the other diagonal.
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Kite Let's use kite vocabulary instead to create our formula. Symmetry Line*Half the Other Diagonal
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Practice! Kite 10 ft
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Kite Answers 20 ft2 10 ft
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Summary so far„, bh
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Summary so far„, bh
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Summary so far„, bh
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Summary so far„, bh bh
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Summary so far„, bh bh
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Summary so far„, bh bh
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Summary so far„, bh bh
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Summary so far„, bh bh
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Summary so far„, bh
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Summary so far„, bh bh
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Summary so far„, bh bh
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Summary so far„, bh bh
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Summary so far„, bh bh
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Summary so far„, bh bh
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Summary so far„, bh bh 2
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Summary so far„, bh bh 2
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Summary so far„, bh bh 2
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Summary so far„, bh bh 2
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Summary so far„, bh bh 2
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Summary so far„, bh bh 2
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Summary so far„, bh bh
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Summary so far„, bh bh 2
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Summary so far„, bh bh 2
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Summary so far„, bh bh 2 Symmetry Line * Half the Other Diagonal
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Final Summary Make sure all your formulas are written down! bh bh Symmetry Line * Half the Other Diagonal

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