Question

7. The expenses of carpeting a room thrice as long as it is broad at Rs. 7.50p per sq.
metre is Rs. 1102-50 p. Find the length and breadth of the room.
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Answer 1

Answer:

length = 21 m

breadth = 7 m

Step-by-step explanation:

let the breadth of room be = b = x

length of the room will be = l = 3x

area of room = l × b

= 3x × x

= 3x²

total cost of carpeting = Rs. 1102.50

cost of carpeting per sq metre = Rs. 7.50

area of carpet =

$= \frac{1102.50}{7.50} \\ = 147 {m}^{2}$

area of room = 147 m²

3x² = 147

x² = 147/3

x² = 49

x = √49

x = 7 m

therefore

breadth of room = x = 7 m

length of room = 3x = 3×7 = 21 m

Hope you get your answer