If each side of a rhombus is doubled, how much will its area increase?
(a) 1.5 times
(b) 2 times
(c) 3 times
(d) 4 times

Solution:

Given, each side of a rhombus is doubled.

We have to find the increase in its area.

Area of rhombus = base × corresponding height

Let the side of rhombus be b

Since the side is doubled, side = 2b

Old Area = bh

New area = 2bh

Therefore, the area has increased by 2 times.

✦ Try This: If each side of a rhombus is tripled, how much will its area increase?

Given, each side of a rhombus is tripled.

We have to find the increase in its area.

Area of rhombus = base × corresponding height

Let the side of rhombus be b

Since the side is tripled, side = 3b

Old Area = bh

New area = 3bh

Therefore, the area has increased by 3 times.

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

NCERT Exemplar Class 7 Maths Chapter 9 Problem 28

If each side of a rhombus is doubled, how much will its area increase? (a) 1.5 times, (b) 2 times, (c) 3 times, (d) 4 times

Summary:

If each side of a rhombus is doubled, its area increases by 2 times.

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