# math

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Area of the four walls of a room is 108 m2. If the height and length of the room are in the ratio of 2 : 5 and the height and breadth in the ratio 4 : 5, then the area, in m2, of the floor of the room is :

• math -

ratio of
height : length = 2 : 5 = 2x : 5x = 4x : 10x

ratio of height : breadth (width ?) = 4 : 5 = 4x : 5x

height : length : width = 4x : 10x : 5x

area = 2(lh) + 2(wh)
= 2(10x)(4x) + 2(5x)(4x) = 108
120x^2 = 108
x^2 = .9

floor is 10x by 5x = 25x^2 = 25(.9) = 22.5 m^2

• math -

80',80',100',100'

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