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Question

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


A

1.5 times

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B

2 times

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C

3 times

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D

4 times

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Solution

The correct option is D

4 times


Explanation for the correct option:

Area of a rhombus is given as A=bh

Where, b is the base and h is the height.

Initially, the area will be, A1=bh

When all the sides are doubled, base and height also get doubled.

Thus, b becomes 2b and h becomes 2h.

Then the new area is,

A2=2b×2h=4bhA2=4A1

Therefore, the area increases 4 times when the sides of a rhombus are doubled.

Hence, option D is correct.


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