Question

The sides of a rectangle are in the ratio 4:5 and its perimeter is 180 cm. Find its sides

Answer 1

Let the length be 5a
Width = 4a

Perimeter = 180
=> 2*(L+B) = 180
=> 9a = 90
=> a = 10

Length= 50 cm
Width = 40 cm

Answer 2

Heya buddy,


Here is your answer,

Given : perimeter of rectangle = 180cm and the sides are in the ratio 4:5

Solution,

Let the side lengths be 4x and 5x


Now the perimeter of rectangle = 2(l + b)

Thus,

=> 180 = 2(5x + 4x)

=> 180 = 2(9x)

=> 180 = 18x

=> x = 180/18

=> x = 10

Therefore,

The length of sides are,

=> 4x = 4 × 10 = 40 cm and
=> 5x = 5 × 10 = 50 cm


Hope it helps you,
Thank you.