The length of the rectangular room is 4x m and the breadth of the rectangular room is 75% of its length

Q. The length of the rectangular room is 4x m and the breadth of the rectangular room is 75% of its length. The cost of fencing of the rectangular room at the rate of Rs.15 per meter is Rs.1050. If the ratio of the breadth of the rectangular room to the side of the cube is 3:2, then find the total surface of the cube?

A.150 m2

B.1350 m2

C.726 m2

D.600 m2

E. None of these

Sol:

Length of rectangle = 4x

Breadth of rectangle = 4x * 75/100 = 3x

2 * (4x + 3x)=1050/15

x = 5

Breadth of the rectangle = 5 * 3 = 15 m

Side of the cube = 15 * 2/3 = 10 m

Total Surface area of the cube = 6 * 10 * 10 =

600 m2

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