A rectangle and a square have the same area. The square has a perimeter of 32 meter and the length of the rectangle is 4 meter. What is the width of the rectangle (in meter)?

Question: A rectangle and a square have the same area. The square has a perimeter of 32 meter and the length of the rectangle is 4 meter. What is the width of the rectangle (in meter)?

Solution:
Given,
rectangle length = 4 meter
Square perimeter = 32 meter
We know, Square perimeter = 4 × side length
Now,
side length = 32/4 = 8 meter.

∴ Area of square = 8 × 8 = 64 sq meter
As the area of square and the area of the rectangular are same,
Rectangle area = 64 sq meter

Now,
Rectangle area = length × width = 4 × width
⇒ 64 = 4 × width
⇒ width = 64/4
∴ width = 16 meter