Question

the sides of a rectangle are in the ratio 5:4 and its perimeter is 90 cm .find its length and breadth
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Answer 1

Answer:

let the unknown number be x

so formula for perimeter is 2* l+b

now 2* 5x + 4x =90

9x = 45

therefore x=5

now sub we get

5x = 5*5=25

4*5=20

Step-by-step explanation:

Answer 2

Answer :

›»› The length and breadth of a rectangle are 25 and 20 cm.

Given :

• The sides of a rectangle are in the ratio 5:4 and its perimeter is 90 cm.

To Find :

• The length of the rectangle.
• The breadth of the rectangle.

Solution :

The sides of a rectangle are in the ratio 5:4, i.e, the length and breadth of a rectangle are in the ratio 5:5.

Let, us assume that the length of a rectangle is 5x cm and the breadth of a rectangle is 4x cm respectively.

As we know that

→ Perimeter of rectangle = 2(l + b)

→ 90 = 2(5x + 4x)

→ 90 = 2(9x)

→ 90 = 18x

→ x = 90/18

→ x = 5

Therefore,

→ The length of rectangle = 5x

→ The length of rectangle = 5 * 5

→ The length of rectangle = 25 cm

→ The breadth of rectangle = 4x

→ The breadth of rectangle = 4 * 5

→ The breadth of rectangle = 20 cm

║Hence, the length and breadth of a rectangle are 25 and 20 cm.║

Verification :

→ Perimeter of rectangle = 2(l + b)

→ 90 = 2(25 + 20)

→ 90 = 2(45)

→ 90 = 90

Here, LHS = RHS

Hence Verified !

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