Question

the sides of a rectangle are in the ratio 5:4 and it's perimeter is 90 CM. find its length and breadth.

Answer 1

$\large \tt AHOY!! \:$

ATQ, the sides of the rectangle are in ratio 5 : 4 and it's perimeter is 90cm.

let it's length be 5x and breadth be 4x

the formula for the perimeter of the rectangle is 2 ( l + b )

so here we will simply put 5x in place of "l" (length) and 4x in place of "b" (breadth)

on solving we get,

=> 2 ( 5x + 4x ) = 90cm

=> 9x = 90/2

=> 9x = 45cm

=> x = 45/9

=> x = 5cm

hence, it's length = 5x = 5 × 5 = 25cm and breadth = 4x = 4 × 5 = 20cm

$\large \tt HOPE \: THIS \: HELPS!!$

Answer 2

let the ratio be x

A.T.Q

perimeter of a rectangle= 2(l+b)

=) 90 cm = 2( 5x +4x )

=) 90 cm = 2(9x)

=)90 cm = 18x

=) 90 cm / 18 =x

=) 5 cm =x

=)length = 5 * 5 cm

               =25 cm

=) breath = 4 * 5 cm

                =20 cm