Question

the cost of carpeting a room 15m long with a carpet of width 75 cm at rupee 80 per metre is rupee 19200.find the width the room

Answer 1

Given, Length of the room = 15 m

Width of the carpet = 75 cm =
$\frac{75}{100} m = \frac{3}{2}m$


Let the length of the carpet required for carpeting the room be x m.

Given, Cost of carpet = Rs 80/ m

Cost of x m carpet = Rs80/m *x = 80x



Given, Cost of carpeting the room = Rs 19200

∴ 80 x = 19200

⇒ x = 240.

So, the length of carpet required for carpeting the room is 240 m.

Area of carpet required for carpeting the room 

= Width of the carpet × Length of the carpet

=3/4*240

= 180 m2

Let the width of room be  b m.

Area to be carpeted in the room = 15 m × b m = 15 b m2

∴ 15b m2 = 180 m2

b=180/15=12m


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