If the length and breadth of a rectangle are in the ratio

Home » Aptitude » Mensuration » 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 cm²) is :

Using Rule 9,
Let the length and breadth of the rectangle be 3x and 2x cm respectively. Then, 2(3x + 2x) = 20
⇒ 10x = 20

⇒ x =	20	= 2
	10

∴ Length = 3x = 3 × 2 = 6 cm
Breadth = 2x = 2 × 2 = 4 cm
∴ Area = 6 × 4 = 24 cm²