Question

Length and breadth of a rectangle are in the ratio 3:1. Another rectangle with same ratio

and sides double that of the first rectangle. Find the ratio between areas of small and big

rectangle.​

Answer 1

Answer :-

Let the sides of smaller rectangle be 3x and x.

It is given that, sides of another rectangle are in same ratio and sides are double the sides of first.

Sides of another rectangle = 6x and 2x.

We know that,

Area of rectangle = Length × Breadth

Area of first rectangle = 3x × x

→ Area of first rectangle = 3x²

Area of another rectangle = 6x × 2x

→ Area of another rectangle = 12x²

→ Ratio of areas :- 3x² : 12x²

→ Ratio of areas = 3 : 12

→ Ratio of areas = 1 : 4

Ratio of area of rectangle = 1 : 4