Question

If the length of a rectangle is halved and the breadth is doubled then the area of the rectangle obtained remains same.

• A. True
• B. False

Answer 1

The correct option is A True

Area of rectangle = Length $\times$ Breadth
Let's assume length and breadth of the rectangle to be 'l' and 'b' respectively.
If the length of a rectangle is halved and the breadth is doubled then
New length = $\frac{1}{2}l$
New breadth = 2b
Therefore, new area = Length $\times$ Breadth
= $\frac{1}{2}l\times 2b$
= l $\times$ b
The new area is equal to the old area. Hence, there is no change in area.