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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 |
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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 ⇒ X2 = 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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