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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