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Question

The cost of papering four walls of a room at 14Rs. per square metre is 3,150Rs. The height of the room is 5 metres. Find the length and the breadth of the room, if they are in the ratio 4:1.

A
17m and 1.5m
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B
18m and 4.5m
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C
21m and 3.5m
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D
25m and 7.5m
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Solution

The correct option is D 18m and 4.5m
Given, cost of papering the wall is Rs 3150 at Rs 14 per sq. m. Height of the room is 5m and length and breadth are in ratio 4:1.
Area of wall to be papered=costofpaperingthewallrateofpaperingpermeter=315014=225m2
The height of wall=5 cm. Let the length of the wall be 4x and breadth be x.
Surface area of four walls=2h(l+b)
or,225=2×5(4x+x)or,225=10(5x)or,225=50xor,x=4.5
Length of wall=4x=5×4.5=18m.
Breadth of wall=x=4.5m

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