Question

A square of the side lenght of 6cm has the same area as this rectangle . find the perimeter of the rectangle.

plz give full explanation

Answer 1

The perimeter of the rectangle is 26 cm

Explanation:

First find the area of the square by multiplying 6 by itself

A = 6 cm * 6 cm = 36 sq cm

Since the rectangle has the same area as the square, we can say that w * 9 = 36 sq cm

w * 9 = 36

Divide both sides by 9 to isolate the variable, w

w * 9 / 9 = 36 / 9

w = 4 cm

The width of the rectangle is 4 cm so now we just use that to find the perimeter of the rectangle

P = 2(9) + 2(4) = 26 cm