Question

The length and breadth of a rectangle are in the ratio 5:3. If it's perimeter is 80 cm then it's lenth is *​

Answer 1

VERIFIED ANSWER:-

Lenght IS: 25 cm.

Lenght IS: 25 cm.Breadth IS: 15 cm.

Ratio of the Length and Breadth of the Rectangle: 5:3.

Let the Length and Breadth of the Rectangle be 5x and 3x, respectively.

Perimeter of the given Rectangle: 80cm.

Perimeter of the given Rectangle: 80cm.Perimeter of Rectangle: 2×(l+b) unit.

Therefore, we get,

2(5x+3x) = 80

{Transposing 2 to RHS...}

☞8x = 80/4

☞ 8x = 40

{Transposing 8 to RHS...}

☞x = 40/8

☞ x = 5

Lenght of the Rectangle: 5x =5×5 =25cm.

Breadth of the Rectangle: 3x =3×5 =15cm.

Checking the Solution...

Lenght of the Rectangle: 25 cm.

Breadth of the Rectangle: 15 cm.

Perimeter of the Rectangle: 2×(l+b) unit.

→2 × (25 + 15)

→2 × 40

→80 cm.

Given Perimeter of the Rectangle: 80cm.

80cm = 80cm.

{Condition Satisfied...}

Hence the Length and Breadth of the Rectangle are 25cm and 15cm, respectively.