Question

If the length of a rectangle is doubled keeping the breadth the same, then its area is= i )doubled (ii) unchanged (iii) halved (iv) squared​

Answer 1

Step-by-step explanation:

if the length of rectangle doubled and breath is same then

its perimeter will be

2(2 l+ b)

4L+ 2b

area = 4l× 2b

its area will be doubled

Answer 2

Lets take an example,

If we take the length of rectangle as = 4m

Breadth = 2m

Then area = Length×Breadth = 4×2= 8m²

Now,if we double the length

We get, length = 4m×2 = 8m

Breadth is same, so breadth =2m

Then area = 8×2=16m²

We see that in first case, area was 8m² and in 2nd case, area is 16m².

So, we can see that area is doubled by doubling the length and keeping the breadth same

(16/8 = 2 times i.e double)

So, from this example, we can conclude that its area is 1) doubled.

Have a nice day!!