Question

Find area of rhombus, if length of each side is $9$ cm and altitude is $7$ cm.

• A. $7c{m}^2$
• B. $9c{m}^2$
• C. $63c{m}^2$
• D. $126c{m}^2$

Answer 1

Answer: (C)

$63c{m}^2$

Area of rhombus = (length of each side) (altitude)

Let $ABCD$ is a rhombus named in clockwise direction.

A perpendicular is drawn from vertex $A$ to the opposite side.

Let that perpendicular intersect the opposite side at$E$

Area of rhombus $=\left(CD\right)\left(AE\right)$

We know that $CD=9$, $AE=7$

$\Rightarrow Area=9\times 7=63$ sq.cm