Answer:
150 square inches
Step-by-step 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
[tex]\sf \boxed{\bf x = 7}[/tex]
base = 2x + 11
= 2*7 + 11
= 14 + 11
= 25 in
height = 6 in
Area of parallelogram = base * height
= 25 * 6
= 150 square inches
