Question

The length of a rectangular room is two times its breadth and the perimeter of its floor is 45m find the cost of carpeting its floor at rs 110 per Sq. M

Answer 1

Answer :

• The cost of carpeting it's floor is Rs 12, 375.

Given :

• The length of a rectangular room is two times its breadth and the perimeter of its floor is 45m.

To Find :

• Cost of carpeting it's floor at Rs110 per m².

Solution :

Let

• Breadth of the rectangular room = x
• Length of the rectangular room = 2x

Here

• Perimeter of the rectangular room = 45m

As we know that

• Perimeter of a rectangle = 2 (l + b)

Where

• l = length
• b = breadth

Put the values in the formula

→ Perimeter of the rectangle = 2 (l + b)

→ 45 = 2 (2x + x)

→ 45 = 2 × 3x

→ 45 = 6x

→ x = 45/6

→ x = 7.5

Now

• Breadth of the rectangular room = x = 7.5m
• Length of the rectangular room = 2x = 7.5(2) = 15m

As we know that

• Area of a rectangle is l × b

According to question :

→ Area of the rectangle = 7.5 × 15

→ Area of the rectangle = 112.5m²

Now

• Cost of carpeting 1m² = Rs 110
• Cost of carpeting 112.5m² = 112.5 × 110 = Rs 12,375

Hence, the cost of carpeting it's floor is Rs 12,375.