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Explain how to find the area of the irregular figure shown. A figure can be broken into a parallelogram and triangle. help now please worth one hundred points I will mark you brainiest

Sagot :

lgalliano

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.

What is parallelogram?

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:

brainly.com/question/1563728

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