Math, asked by arvy75, 1 year ago

28.
The cost of carpeting a room 18m long with a carpet 75cm wide at 45 paise per meter
is Rs 81. The breadth of the room is
(a) 7m
(b) 7.5m
(C) 8m
(d) 8.5

Answers

Answered by Rose08
11

Correct question:-

The cost of carpeting a room 18m long with a carpet 75 cm wide at Rs. 45 per meter is Rs 810. The breadth of the room is:

(a) 7 m

(b) 7.5 m

(C) 8 m

(d) 8.5 m

Answer:-

The breadth of the room is 7.5 m.

Explanation:-

Given :

Length of room = 18 m

Width of the carpet => 75 cm = 0.75 m

Cost of carpeting at the rate of Rs. 45 per meter = Rs. 810

Therefore, Length of the carpet = Total cost / Rate of carpeting per metre

 =  > Length =  \dfrac{810}{4.5} \:  m

 =  > Length =  \dfrac{810 \times 10}{45}  \: m

 =  > Length = 18 \: m

Now, we know the length of the room.

And the carpet is covering the whole room, So:-

Area of carpet = Area of room

Now, We will find the area of the carpet. As it is a rectangular room, the carpet is also in the same shape. As we know, the formula of the area of rectangle is = (Length × Breadth) sq. unit

 =  > Area = (18 \times 0.75) \:  {m}^{2}

 =  > Area = 135 \:  {m}^{2}

Hence, the area of the carpet or the room is 135 m.

Therefore, Breadth of room = Area of the room/ Length of the room

 =  > Breadth =  \dfrac{Area}{Length}

 =  > Breadth =  \dfrac{135}{18}  \: m

 =  > Breadth = 7.5 \: m

Hence, The breadth of the room is 7.5 m.

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