Question

The figure is formed by a right triangle, a parallelogram with a height of 10 inches, and a square. Amanda found that the area of a figure is 198 inches squared and that the perimeter is 68 inches. Which statement is true?

Answer 1

Both of her answers are incorrect.

Explanation:

Answer 2

Both of her statements are incorrect.

For the area, we find the separate area of each shape this figure is made of. The formula for the area of a triangle is A=1/2bh, so we plug in our information:

A=1/2(12)(9) = 54in²

The formula for the area of a parallelogram is A=bh; with our information,

A=10(12) = 120in²

The formula for the area of a square is A=s²; with our information,

A = 12² = 144in²

We add all of these together for a combined area:
54+120+144 = 318in²

For the perimeter, we add up all of the sides:
9+15+16+12+12+12+16 = 92 in.