Question

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

Answer 1

Answer:

perimeter of a rectangle=2(l+b)

if the length and breadth are doubled then new length = 2l and new breadth = 2b

(using these in the perimeter equation)

perimeter of new rectangle =2(2l+2b)

                                               =2(2(l+b)) (As we take 2 common in the bracket)

new perimeter=4(l+b)

When we take the ratio of the first rectangle and the new rectangle :

2(l+b)/4(l+b)=1/2

So the perimeter of the new rectangle is 2 times larger