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A rhombus is formed by joining midpoints of the sides of a rectangle in the suitable order. If the area of the rhombus is 2 square units, then the area of the rectangle is

a

222 \sqrt{2} square units

b

4 square units

c

424 \sqrt{2} square units

d

8 square units

Answer : Option B
Explanation :

In the rhombus PQRS,

Diagonal PR=\mathrm{PR}= Length of rectangle =d1=d_{1}

Diagonal BS=\mathrm{BS}= Breadth of rectangle =d2=d_{2}

Area of rhombus =12d1d2=\frac{1}{2} d_{1} d_{2}

12d1d2=2d1d2\Rightarrow \frac{1}{2} d_{1} d_{2}=2 \Rightarrow d_{1} d_{2}

=4=4 sq. units

== Area of rectangle

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