A rectangle is 5 inches long and 4x inches wide. The value of the perimeter (in inches) is equal to the value of the area (in square inches). Find x.

Question

Can you give me the answer and also show your work and explain.

Answer 1

5(4x) = Area = Perimeter = 2(5+4x) = 10+8x

20x = 10 +8x

12x =10

x =10/12 = 5/6

the rectangle is 5 by 10/3 or 5 inches by 3 1/3 inches