Question

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

Answer 1

side of rectangle -5:4
let length =5x
and breadth=4x

Perimeter of rectangle=2(l+b)
90=2(5x+4x)
90/2=9x
45=9x
x=45/9
x=5
length=5*5=25cm
breadth=4*5=20cm

Answer 2

Answer:

Its length and breadth are 25 cm and 20 cm respectively.

Step-by-step explanation:

The sides of a rectangle are in the ratio 5:4

Let the ratio be x

so, Length = 5x

Breadth = 4x

Perimeter of rectangle = $2(l+b)$

                                      = $2(5x+4x)$

                                      = $2(9x)$

Now we are given that its perimeter is 90 cm

So, $2(9x)=90$

$18x=90$

$x=\frac{90}{18}$

$x=5$

So, Length = $5x = 5 \times 5 = 25cm$

Breadth = $4x= 4\times 5 =20cm$

Hence its length and breadth are 25 cm and 20 cm respectively.