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Question 139
The length and breadth of a rectangle are in the: ratio of 4 : 3 respectively and its area is 1728 m . Find the perimeter of rectangle? (in m)
Solution
Let the length and breadth of the rectangle be $$4x$$ and $$3x$$
=> Area of rectangle = $$4x \times 3x = 1728$$
=> $$x^2 = \frac{1728}{12} = 144$$
=> $$x = \sqrt{144} = 12$$
$$\therefore$$ Perimeter of rectangle = $$2 (4x + 3x)$$
= $$14x = 14 \times 12$$
= $$168$$ metre
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