Question

The area of a rhombus and parallelogram are equal and length of diagonal of rhombus are 18 cm and 15 cm. Find the area of the parallelogram.​

Answer 1

Given:-

• Area of a Rhombus and Parallelogram are equal.

• Length of Diagonal of Rhombus are 18 cm and 15 cm.

To Find:-

• Area of the Parallelogram

Formula Used:-

• ${\boxed{\bf{\red{Area\:of\: Rhombus= \dfrac{1}{2}\times Product\:of\:its\: Diagonal}}}}$

Solution:-

Using Formula,

$\sf :\implies\:Area\:of\: Rhombus= \dfrac{1}{2}\times Product\:of\:its\: Diagonal$

$\sf :\implies\:Area\:of\: Rhombus= \dfrac{1}{2}\times 18\times 15$

$\sf :\implies\:Area\:of\: Rhombus=9\times 15$

$\sf :\implies\:Area\:of\: Rhombus= 135\:cm^2$

As given,

$\sf :\implies\:Area \:of \:a \:Rhombus = Area \:of \: Parallelogram$

So,

$\sf :\implies\:Area\:of\: Parallelogram= 135\:cm^2$

Hence, The Area of Parallelogram is 135cm².

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