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3 years ago

PLEASE HELP!!!

Mathematics

1 answer:

Allushta [10]3 years ago

8 0

Answer:

- 1/2 7/12 2/3 . 82

Am I right

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This trapezoid has been divided into two right triangles and a rectangle.

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<h3>Area of Compound Shapes</h3>

This exercise requires your knowledge about the area of compound shapes. For solving this, you should:

Identify the basic shapes;
Calculate your individual areas;
Sum each area found.

For finding the area, the steps are presented below.

STEP 1 - Identify the basic shapes.

This trapezoid is composed of two triangles and one rectangle. Therefore, you should sum the area of these geometric figures.

STEP 2 - Find the area of the triangle.

Area of the triangle - $A_{triangle}=\frac{b*h}{2}$ . The figure shows:

b= length of the base= 2in

h=height=9 in

Then, $A_{triangle}=\frac{b*h}{2}=\frac{2*9}{2} =\frac{18}{2}=9 in^2$

Note that the triangles are equals, consequently, they present the same values for the area.

STEP 3 - Find the area of the rectangle.

Area of the rectangle- $A_{rectangle}={b*h}$ . The figure shows:

b= length of the base= 12 in

h=height= 9in

Then, $A_{rectangle}={b*h}=12*9=108 in^2$ .

STEP 4 - Find the area of the trapezoid.

$A_{trapezoid}=2*A_{triangle}+1*A_{rectangle}\\ \\ A_{trapezoid}=2*9+1*108\\ \\ A_{trapezoid}=18+108\\ \\ A_{trapezoid}=126in^2$

Learn more about the area of compound shapes here:

brainly.com/question/15884960

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