Question

The cost of carpeting a room 15m long with a carpet of width 75 cm at rupees 80 per metre find the width of room

Answer 1

Answer:

Let the width of the room be 'b' m

Let the width of the room be 'b' mLength of the room = 15 m

Let the width of the room be 'b' mLength of the room = 15 mArea of the room = 15 × b = 15b m2

Let the width of the room be 'b' mLength of the room = 15 mArea of the room = 15 × b = 15b m2Total cost of carpeting = Rs 19200

Let the width of the room be 'b' mLength of the room = 15 mArea of the room = 15 × b = 15b m2Total cost of carpeting = Rs 19200Cost of carpet per metre = Rs 80

Let the width of the room be 'b' mLength of the room = 15 mArea of the room = 15 × b = 15b m2Total cost of carpeting = Rs 19200Cost of carpet per metre = Rs 80Length of the carpet = 19200 / 80 = 240 m

Let the width of the room be 'b' mLength of the room = 15 mArea of the room = 15 × b = 15b m2Total cost of carpeting = Rs 19200Cost of carpet per metre = Rs 80Length of the carpet = 19200 / 80 = 240 mWidth of the carpet = 75 cm = 0.75 m

Let the width of the room be 'b' mLength of the room = 15 mArea of the room = 15 × b = 15b m2Total cost of carpeting = Rs 19200Cost of carpet per metre = Rs 80Length of the carpet = 19200 / 80 = 240 mWidth of the carpet = 75 cm = 0.75 mArea of the carpet = 240 x 0.75

Let the width of the room be 'b' mLength of the room = 15 mArea of the room = 15 × b = 15b m2Total cost of carpeting = Rs 19200Cost of carpet per metre = Rs 80Length of the carpet = 19200 / 80 = 240 mWidth of the carpet = 75 cm = 0.75 mArea of the carpet = 240 x 0.75Area of the room = Area of the carpet

Let the width of the room be 'b' mLength of the room = 15 mArea of the room = 15 × b = 15b m2Total cost of carpeting = Rs 19200Cost of carpet per metre = Rs 80Length of the carpet = 19200 / 80 = 240 mWidth of the carpet = 75 cm = 0.75 mArea of the carpet = 240 x 0.75Area of the room = Area of the carpet⇒15b = 240 × 0.75

Let the width of the room be 'b' mLength of the room = 15 mArea of the room = 15 × b = 15b m2Total cost of carpeting = Rs 19200Cost of carpet per metre = Rs 80Length of the carpet = 19200 / 80 = 240 mWidth of the carpet = 75 cm = 0.75 mArea of the carpet = 240 x 0.75Area of the room = Area of the carpet⇒15b = 240 × 0.75⇒ b = (240 × 0.75) / 15 = 12

Let the width of the room be 'b' mLength of the room = 15 mArea of the room = 15 × b = 15b m2Total cost of carpeting = Rs 19200Cost of carpet per metre = Rs 80Length of the carpet = 19200 / 80 = 240 mWidth of the carpet = 75 cm = 0.75 mArea of the carpet = 240 x 0.75Area of the room = Area of the carpet⇒15b = 240 × 0.75⇒ b = (240 × 0.75) / 15 = 12Therefore, width of the room is 12 m

Answer 2

Question

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

Solution:-

Width of a carpet = 75cm =

$(75 \times \frac{1}{100})m \: = 0.75m$

Let, the length of the carpet be l

ATP

$l \times 80 = 19200 \\ = ) \: l = \frac{19200}{80} = 240$

Area of the carpet = (L×B) = (240×0.75)m² = 180m²

Length of the room = 15m

Let, the width of the room be b

ATP

$l \times b \: = 180 \\ = ) \: 15 \times b = 180 \\ = ) \: 15b \: = 180 \\ = ) \: b \: = \frac{180}{15} = 12$

Ans:- The width of the room is 12m.