Question

If the length and breadth of a rectangle are in the ratio 3 : 2 and its perimeter is 20 cm, then the area of the rectangle (in sq.cm) is :

• A. 24
• B. 48
• C. 72
• D. 96

Answer 1

Answer:

A. 24

Let the length and breadth of the rectangle be 3x and 2x cm respectively.

Then,

2(3x + 2x) = 20

=>10x = 20

=>x =\frac{20}{10}=2

$Length = 3x = 3 \times{ 2} = 6 cm$

$Breadth = 2x = 2 \times{ 2} = 4 cm$

$Area = 6\times{ 4} = 24 cm^2$