The area of a rectangle is thrice that of square. Length

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The area of a rectangle is thrice that of square. Length of the rectangle is 40 cm and the breadth of the rectangle is ( 3 / 2 ) times that of the side of the square. The side of the square in cm is ?

1. 15
2. 20
3. 30
4. 60

Correct Option: B

Let the side of the square = y cm
Then, breadth of the rectangle = 3y/2 cm

∴ Area of rectangle = (40 x 3y/2) cm²
= 60y cm²

∴ 60y = 3y²
∴ y = 20

Hence, the side of the square = 20 cm