Determine the area of the composite figure.

Area = 142.5 square inches

Step-by-step explanation:

So your shape is kind of a little house. The bottom part is a rectangle 9 × 9.5. The area of the rectangle is

Area = length×width

= 9 × 9.5

= 85.5

The "roof" of the little house is a triangle. The area of a triangle is 1/2×base×height

Now, the base of the "roof" is the same as the floor of the house, 9.5 inches.

The height of the whole thing is 21 inches. If we take away the rectangle's wall-height, we'll get the height of the "roof".

Roof height= 21 - 9

= 12 inches

Area_roof

=1/2 × base × height

=1/2 × 9.5 × 12

= 57 square inches

Total area is bottom plus roof (the rectangle and the triangle)

Total Area

= 85.5 + 57

= 142.5 sq in

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