Question

The central hall of a school is 22m long and 15.5m wide. A carpet is to be laid on the floor leaving a strip of 75cm width from the walls uncovered. Find the area of the carpet and the area of the strip left uncovered​

Answer 1

Answer:

Ar. Of carpet = 287m²

Ar. Of space left = 54m²

Step-by-step explanation:

Length of room = 22m

Breadth of room =15.5m

Space to be left between wall and carpet = 75cm = 0.75m

So, length of the carpet = [22-(0.75+0.75)]m = (22-1.5)m = 20.5m

Breadth of the carpet = [15.5-(0.75+0.75)] = (15.5-1.5)m = 14m

Ar. Of carpet = l×b = (20.5×14)m² = 287m²

Ar. Of room = l×b = (22×15.5)m² = 341m²

Ar. Of space left = ar. of room - ar. of carpet = (341-287)m² = 54m²