Question

The length of a rectangle is twice the side of a square and its width is 6 cm greater than the side of the square. If the area of the rectangle is three times the area of the square; find the dimensions of each.

Answer 1

Let a be the length of the sides of the square.

According to the question,
2a x ( a + 6 ) = 3a²
2a² + 12a = 3a²
a = 12

Hence sides of the square are 12 cm each and
Length of the rectangle = 2a = 24 cm.
Width of the rectangle = a + 6 = 18 cm.