Question 64
The area of a rectangle is $$a^2 - b^2$$ and its length is $$a + b$$, what will be its breadth?
Solution
Given, length of the rectangle = $$a+b$$
Let the breadth of the rectangle = $$w$$
According to the Problem, area of the rectangle = $$a^2 - b^2$$
$$=$$> $$\left(a+b\right)\times w=a^2-b^2$$
$$=$$> $$\left(a+b\right)\times w=\left(a+b\right)\left(a-b\right)$$
$$=$$> $$w=a-b$$
$$\therefore\ $$Breadth of the rectangle = $$a-b$$
Hence, the correct answer is Option D
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