Question

The ratio of the length and breadth of a rectangle is 5:4 and its area is 180 cm

(i) Find its length and breadth (ii) Find its perimeter

Answer 1

Length = 15 cm, width = 12 cm, Perimeter = 54 cm

Explanation:

The ratio of the length and breadth of a rectangle is 5:4 and its area is 180 cm².

Length = 5x

Breadth = 4x

Area of rectagle,

A = bl

180 = 5x × 4x

180 = 20x²

x² = 9

x = 3

Length = 5x = 5(3) = 15 cm

Width = 4x = 4(3) = 12 cm

Perimeter of rectangel,

P = 2(l+b)

= 2(15+12)

= 54 cm

Hence, this is the required solution.