25 cm wide3. What will be the change in the area of a rectangle if(a)

1.	25 cm wide3. What will be the change in the area of a rectangle if(a) length and breadth are doubled?là em
Answer» 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.

25 cm wide3. What will be the change in the area of a rectangle if(a) length and breadth are doubled?là em

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.