Answer:
Area = 142.5 square inches
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