The cost of painting the walls of a room at 75 per m2 amounts to rs11,250 and the cost of carpeting the room at 24 per m² comes to rs1878. If the length of the room is 8.5 m, find the dimensions of the room.
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Class 11
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>>The cost of papering the four walls of a
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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.
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Correct option is B)
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=
costofpaperingpermeter
costofpaperingthewall
=
0.75
240
=320m
2
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=80x
x=4
Length of wall=5x=5×4=20m.
Breadth of wall=3x=3×4=12m
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