Question

25 cm wide
3. What will be the change in the area of a rectangle if
(a) length and breadth are doubled?
là em​

Answer 1

Answer:

Let length of and breadth of a rectangle are xcm and ycm

⇒ Area of a rectangle =length×breadth

=xy

⇒ Area of a rectangle =xycm² ---- ( 1 )

Now, when length and breadth gets double.

The length and breadth becomes 2x and 2y

⇒ Area of a rectangle =2x×2y

=4xycm²

⇒ Area of a rectangle= 4xycm² --- ( 2 )

Comparing ( 1 ) and ( 2 ) we can see,

⇒ If the length and the breadth of a rectangle are doubled then its area becomes 4 times.