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 the figure is 198 inches squared, and that the perimeter is 68 inches. Which statement is true

Question
Answer:
Both of her answers are incorrect.

Here is the correct work for both the perimeter and the area.

P = 15+9+16+12+12+12+16
P = 92 inches

For the area you will find the area of all 3 shapes separately and then add them together.

Triangle:
A = 1/2bh
     1/2 x 9 x 12
A = 54 square inches

Parallelogram:
A = bh
      16 x 10
A = 160 square inches

Square:
A = bh
    12 x 12 
A = 144 square inches

144 + 160 + 54 = 358 square inches
solved
general 6 months ago 9113