Area of the four walls of a room is108m2. 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
-CBSE
Class
-10
-Mathematics
-Trigonometric formulas and identities
-Trigonometric formulas and identities

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answer is C.

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Detailed Solution

Area of rectangle = length x breath
Area of 4 walls= 2c (a+b)= 108
c(a+b)=54
So according to question c/a =⅖ , c/b = ⅘ Question Image

5c = 2a, 5c = 4b a= 5c/2 , b= 5c/4
Thus in c(a+b)= 54
c(5c/2+ 5c/4)= 54
c(10c+5c/4)=54
c(15c)= 54 x 4
c2= 54 x 4/15 = 72/5
C = √72/5 = 6 √2/5
a= 5/2 x 6 √ ⅖ = 15 √ ⅖
b= 5/4x 6√2/5 = 15/2√2/5
Area of floor = ax b = 15√2/5 x 15/2√ ⅖
=225 x ⅖ =45m2 Thus option © is correct.

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