1.

Length and breadth of a rectangle are in the ratio of 4 ∶ 3. If the area of rectangle is 108 m2, find the area of square whose side is equal to the breadth of the rectangle.1). 44 m22). 56 m23). 81 m24). 58 m2

Answer»

Let the length and the breadth of a rectangle be 4x and 3x.

We know that the area of rectangle = Lenght × Breadth

⇒ Area of rectangle = (4x) × (3x) = 12x2

⇒ 108 = 12x2

X= 9

⇒ x = 3

∴ Length = 4x = 12 and Breadth = 3x = 9

It is given that, SIDE of SQUARE = Breadth of rectangle = 9

Area of square = Side2 = 92 = 81

Hence, the area of square = 81 m2



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