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Question

The cost of papering the four walls of a room at 75 paise per square metre is Rs 240. The height of the room is 5 meters. Find the length and the breadth of the room, if they are in the ratio 5:3.

A
11 m and 12 m
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B
20 m and 12 m
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C
22 m and 12 m
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D
19 m and 12 m
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Solution

The correct option is B 20 m and 12 m
Given, cost of papering the wall is Rs 240 at 75 p per sq. m. Height of the room is 5m and length and breadth are in ratio 5:3.
Areaofwalltobepapered=costofpaperingthewallcostofpaperingpermeter=2400.75=320m2
Height of wall= 5 cm.Let length of wall be 5x and breadth be 3x.
Surface area of four walls=2h(l+b)
320=2×5(5x+3x)320=10(8x)320=80xx=4
Length of wall=5x=5×4=20m.
Breadth of wall=3x=3×4=12m

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