Question

the cost of carpeting a room 15 m long with a carpet of width 75 cm at $ 80 per meter is $ 19200 . find the width of the room
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Answer 1

$answer$

Length of the room = 15 m

Width of the carpet = 75 cm = (75/100)m = 0.75 m

Cost of carpet = ₹ 80 Cost of carpeting the room

= ₹ 19200

Let the length of the carpet be x m

∴Cost of x m carpet = ₹ (80 × x) = ₹ 80x

Then, Cost of carpeting the room = ₹ 19200

= 80x = 19200

= x = 19200/80

= x = 240

∴The length of the carpet required for carpeting the room is 24 m

Then,

Area of the carpet required for carpeting the

room = Length of the carpet × Width of the

carpet = (240 × 0.75) m2 = 180m2

Now,

We have to find width of the room be b m.

Carpeting area = 15 m × b m

= 15b m2

∴ 15b m2 = 180 m2

= b = (180/15) m

= b = 12 m

Hence, the width of the room is 12 m

Hope it helps you

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