Question

A rectangle is formed from a square by increasing the latter length by 50 percent while reducing the width by 50 percent. The ratio of the area of the rectangle to that of the square is?​

Answer 1

3 : 4

Explanation:

You want to know the ratio of areas of a rectangle and square such that the rectangle is 50% longer and 50% narrower than the square.

Transformation

A square that is 2 units on a side will be transformed to a rectangle that is 1.5×2 = 3 units long, and 0.5×2 = 1 unit wide.

The rectangle area is 3×1 = 3. The square area is 2×2 = 4.

The ratio of areas is ...

rectangle area : square area = 3 : 4