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Answer:
Sample Response:Break the figure into a parallelogram and a triangle. Find the area of each using the formulas A=bh and A=1/2bh. The sum of the areas is the area of figure.
Step-by-step explanation:
The area of the figure that can be broken into a parallelogram and triangle is 36 square inches.
In two-dimensional geometry, it is a plane shape having four sides in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.
We are assuming the figure can be broken into a parallelogram and triangle with dimensions shown in the picture.
First, we calculate the area of the triangle CDE
CE = 4 in from the figure
Height of the triangle = 12-6 = 6 in
Area of a triangle:
[tex]=\rm \frac{1}{2} \times4\times6[/tex]
= 12 square in
For area of the parallelogram:
Area = BH
B = 4 in and H = 6 in
Area = 4×6 = 24 square in
Area of figure = 12 + 24 = 36 square in.
Thus, the area of the figure that can be broken into a parallelogram and triangle is 36 square inches.
Learn more about the parallelogram here:
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