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Question 151
If the perimeter of a rectangle is 180 metres and the difference between the length and the breadth is 8 metres, what is the area of the rectangle ?
Solution
Let length of rectangle = $$x$$ metre
and breadth = $$(x - 8)$$ metre
=> Perimeter = $$2 (x + x - 8) = 180$$
=> $$2x - 8 = 90$$
=> $$x = \frac{98}{2} = 49$$
=> Breadth = 49 - 8 = 41 metre
$$\therefore$$ Area of rectangle = 49 * 41 = 2009 sq. metre
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