Question

The perimeter of the parallelogram below is 64 in. What is the area? Enter the numerical value only. Do not enter a label.

Answer 1

150 square inches

Explanation:

In a parallelogram opposite sides are parallel and equal.

Perimeter = sum of all sides

2x + 11 + x + 2x + 11 + x = 64

2x + x + 2x +x + 11 + 11 = 64

Combine like terms,

6x + 22 = 64

6x = 64 - 22

6x = 42

x = 42÷ 6

`\sf \boxed{\bf x = 7}`

base = 2x + 11

= 2*7 + 11

= 14 + 11

= 25 in

height = 6 in

Area of parallelogram = base * height

= 25 * 6

= 150 square inches