Question

One type of carpet is sold for Rs.4.50 per square yard. How much will a carpet that is 12 feet and 27 feet long cost?
a.121.50
b.144.00
c.162.00
d.445.50
e.1458.80

Answer 1

Hint:In this question use the given length and the breadth of the carpet to calculate the area of the carpet as it will be length times breadth. Then use the constraint of the questions to formulate the price of this specific area of the carpet. This will help approaching the problem.

Complete step-by-step answer:

Price of the carpet = Rs. 4.50 per square yard.
Now the dimension of the carpet = 12 feet wide and 27 feet long.
So the dimension of the carpet = $ 12 \times 27 $ square feet.
Now as we know that in 1 yard there is 3 feet.
So in 1 feet there is (1/3) yard.
So in 12 feet there is (12/3) = 4 yards and in 27 feet there is (27/3) = 9 yards.
So the dimension of the carpet in square yards is
 $ \Rightarrow \left( {4 \times 9} \right) = 36 $ Square yards.
Now it is given that the cost of 1 square yard = Rs. 4.50
So the cost of 36 square yard is the product of the 36 and the cost of the 1 square yard.
So the cost of the 36 square yards = $ 36 \times 4.50 $ Rs.
Now simplify this we have,
So the cost of the 36 square yards = 162.00 Rs.
So the carpet which is 12 feet wide and 27 feet long cost Rs. 162.00.
So this is the required answer.
Hence option (C) is the correct answer.

Note:The trick point here was regarding the conversion of one feet into one yard. One feet is equivalent to (1/3) yard. So the application of the unitary method will help conversion of dimensions in feet into yards and thus the area obtained will be in yards only.