Question

if the length and breadth of a rectangle are doubled, how many times the perimeter of the old rectangle will that of the new rectangle be?

Answer 1

Hey☺

Let the length be l

and breadth be b

✴ Perimeter of rectangle = 2(l+b)

According to question ,

New breadth = 2b
New length =2l

✴ Perimeter of new rectangle =. 2(2l+2b)
= 4(l+b)

Since Perimeter of new rectangle is 4(l+b)

Their ratio would be
4(l+b) / 2(l+b)

✔✔2:1

Therefore the perimeter of new rectangle is double of that of old one

Answer 2

Hi...✌

Here is your answer...☺

Let the length and breath of old rectangle be L and B respectively.

Perimeter P = 2(L+B) ......(1)
_______________
If they are doubled

New length = 2L

New breath = 2B

Perimeter of new rectangle= 2(2L+2B)

= 2×2(L+B)

= 2×P ......( from (1) )

Hence,

Perimeter of new rectangle is the DOUBLE of the perimeter of old rectangle.

Thank you ⭐