A room is 13 m long and 9 m broad find the cost of carpeting the room with a carpet 75 cm broad at the rate of 65 rupees per meter. Please tell me step by step explanation.
Answers
Answer:
Step-by-step explanation:Given :
Length of room (l) = 13 m
Breadth of room (b)= 9 m
Breadth of carpet= 75 cm = 75/100= .75 m
[ 1 cm = 1/100]
Area of room = length × breadth
Area of room = 13×9 = 117 m²
Let Length of required carpet be x m
Area of carpet = x × .75= .75x m²
Area of carpet = area of room
.75x = 117
x = 117 /.75 = 11700/75= 156
Length of carpet = 156 m
Cost of carpeting 1 m = ₹ 65
Cost of carpeting 156 m = 156 × 65 = ₹ 10140
Hence, the cost of carpeting = ₹10140
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Step-by-step explanation:
The area of room = the area of the carpet
length₁ × breadth₁ = length₂ × breadth₂
1300×900 = x ×75
1170000 = 75x
x = 1170000/75 = 15600cm = 156m
Cost = ₹(156 × 65) = ₹10140
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