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Question 134
The difference between length and breadth of a rectangle is 17m and the perimeter is 106m. Find the area of rectangle ? (in m )
Solution
Let length of the rectangle = $$x$$ metre
=> Breadth of the rectangle = $$x - 17$$ metre
Now, perimeter = $$2 (x + x - 17) = 106$$
=> $$2x - 17 = \frac{106}{2} = 53$$
=> $$2x = 53 + 17 = 70$$
=> $$x = \frac{70}{2} = 35$$
=> Length = 35 m and Breadth = 35 - 17 = 18 m
$$\therefore$$ Area of rectangle = $$35 \times 18$$
= $$630 m^2$$
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