Question

A hall is 24m long and 18m wide. a carpet is to be laid on the floor after leaving a margin of 75cm form the walls. find the area of the carpet. also find the area of the floor uncovered.

Answer 1

☆ Solution ☆

Given

• A hall is 24m long and 18m wide.
• A carpet is to be laid on the floor after leaving a margin of 75cm form the walls.

To Find

• The area of the carpet.
• The area of the floor uncovered.

Step-by-Step-Explaination

Length of hall = 24 m

Breadth = 18 m

Area of rectangle = l × b

24 m × 18 m = area

Then area of carpet = L × B

L = 24 m - ( 0.75 m + 0.75 m )

= 24 m - 1.5 m

= 22.5 m

W = 18 m - ( 0.75 m + 0.75 m )

= 18 m - 1.5 m

= 16.5 m

Area of rectangle = l × b

= 22.5 m × 16.5 m

= 371. 25 m

Area of the floor uncovered

= $432 \: {m}^{2}$ - $371.25 \: {m}^{2}$

= $60.75 \: {m}^{2}$

Answer :-

Area of the Carpet = $371.25 \: {m}^{2}$

Area of the floor uncovered = $60.75 \: {m}^{2}$