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?
Accepted Solution
A:
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.