Question

A square has sides of length 4xcm. A rectangle is 4x by (x+6) cm. The

area of the square is triple the area of the rectangle. Find the dimensions of
each figure.​

Answer 1

x = 18 cm

Explanation:

(4x)^2 = 3(4x)(x+6)

16x^2=3(4x)(x+6)

divide both sides by 4x

4x = 3(x+6)

4x=3x+18

x = 18