Question: What would be the cost of laying a carpet on a floor which has its length and breadth in the respective ratio of 32: 21 and where its perimeter is 212 ft, if the cost per square feet of laying the carpet is Rs. 2.5?
Options:
A) Rs. 6720
B) Rs. 5420
C) Rs. 7390
D) Cannot be determined
E) None of the above
Show Answer
Answer:
Correct Answer: A
Solution:
- Let the length and breadth of a floor be 32x and 21x, respectively.
Given, perimeter of the floor = 212 ft
$ 2,(32x+21x)=212,ft $
$ \Rightarrow $ $ 106x=212,ft $
$ \Rightarrow $ $ x=\frac{212}{106}=2,ft $
$ \therefore $ Area of the floor = Length $ \times $ Breadth
$ =(32\times 2)\times (21\times 2)=64\times 42 $
= 2688 sq ft
Hence, cost of laying carpet $ =2688\times 2.5 $
= Rs. 6720