Question

If the length and breadth of a rectangle is doubled then its area will become?
1) one-fourth
2) two times
3) four times
4) remain same
​

Answer 1

Answer:

area will be four times

Answer 2

Step-by-step explanation:

As we know that,

Area of the rectangle = Length×Breadth

If the length and breadth are doubled,

Then area becomes four times (3)

How?

ATQ........

The new area = 2l×2b

Let the length be 6cm and breadth be 8cm

Then, the area is 48cm²

If the length is doubled, the new length will be 6×2 = 12cm

If the breadth is doubled, the new breadth will be 8×2 = 16cm

The new area will be 12×16 = 192cm²

Now, the new area is how many times of the old area?

192/48 = 4

Hence, the old area is four times the new area

Hence Proved..............