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If the sides of a parallelogram are increased to twice its original lengths, how much will the perimeter of the new parallelogram?
(a) 1.5 times
(b) 2 times
(c) 3 times
(d) 4 times

Solution:

Given, the sides of a parallelogram are increased to twice its original lengths.

We have to find the increase in perimeter of the new parallelogram

Let the length be l

Let the breadth be b

So, perimeter = 2(l + b)

Now, length = 2l

Breadth = 2b

New perimeter = 2(2l + 2b)

= 2[2(l + b)]

Therefore, the new perimeter is increased by 2 times.

✦ Try This: If the sides of a parallelogram are increased to thrice its original lengths, how much will the perimeter of the new parallelogram?

Given, the sides of a parallelogram are increased to thrice its original lengths

We have to find the increase in perimeter of the new parallelogram.

Perimeter of parallelogram = 2(length + breadth)

Let the length be l

Let the breadth be b

So, perimeter = 2(l + b)

Now, length = 3l

Breadth = 3b

New perimeter = 2(3l + 3b)

= 3[2(l + b)]

Therefore, the new perimeter is increased by 3 times.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 11

NCERT Exemplar Class 7 Maths Chapter 9 Problem 29

If the sides of a parallelogram are increased to twice its original lengths, how much will the perimeter of the new parallelogram? (a) 1.5 times, (b) 2 times, (c) 3 times, (d) 4 times

Summary:

If the sides of a parallelogram are increased to twice its original lengths, the perimeter of the new parallelogram will be increased by 2 times.

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