Question

Practice Set 44
• 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?
10 m​

Answer 1

Step-by-step explanation:

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?

Solution:

Let the length of the old rectangle be l and breadth be b.

∴ Perimeter of old rectangle = 2(l + b)

Length of new rectangle = 2l and breadth = 2b

∴ Perimeter of new rectangle = 2(2l + 2b)

= 2 x 2 (l + b)

= 2 x perimeter of old rectangle

∴ The perimeter of new rectangle will be twice the perimeter of old rectangle.

Answer 2

Answer 2*perimeter of old rectangle

Let the breadth and legth of old rectangle be b and a respectively.

Perimeter of old rectangle isP= 2(l+b)

A.T.Q

Breadth and length of the rectangle are 2b and 2l respectively.

Therefore area of new rectangle

P'= 2(2l+2b)

= 4 (l+b)

Comparing both the areas

P'=2P