Q28 of 131 Page 226

If each side of a rhombus is doubled, how much will its area increase?

Let b be the side and h be the height of a rhombus.
∴ Area of rhombus = b × h

[∵ area of rhombus = base × corresponding height]

If each side of rhombus is doubled, then side of rhombus = 2b
Now, area of rhombus = 2b × h = 2(b × h)

= 2 times of original

Hence, the area of rhombus will be increased by 2 times.

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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?

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