Question

What will happen to the area of rectangle, if its length is doubled and breadth is halved?

• A. Remains the same
• B. Doubles
• C. Halves
• D. Cannot be said

Answer 1

The correct option is A Remains the same

Let the length of rectangle be ${}^{\prime }{l}^{\prime }$
Let the breadth of rectangle be $b$
We know that,
Area of rectangle = Length x Breadth
= $l\times b$...(1)

Length is doubled and breadth is halved
New length = 2$l$
New breadth = $\frac{b}{2}$
New area of rectangle = (New length) x (New breadth)
= $2l\times \frac{b}{2}$
=$l\times b$...........(2)

From (1) and (2)
Area remains the same.