Find the area $A$ of a rhombus if side $a = 12 cm$ and angle $α = 3 0^{o}$ .

Answer

$72 cm^{2}$

Explanation

To find area $A$ use formula:

A = \frac{a \cdot a \cdot sin ( α )}{1}

After substituting $a = 12 cm$ , $a = 12 cm$ and $α = 3 0^{o}$ we have:

A = \frac{12 cm \cdot 12 cm \cdot sin ( 3 0 ^{o} )}{1}

A = \frac{12 cm \cdot 12 cm \cdot \frac{1}{2}}{1}

A = \frac{144 cm ^{2} \cdot \frac{1}{2}}{1}

A = \frac{72 cm ^{2}}{1}

A = 72 cm^{2}

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Find the area A of a rhombus if side a=12cm and angle α=30o.

72cm2

Find the area $A$ of a rhombus if side $a = 12 cm$ and angle $α = 3 0^{o}$ .

$72 cm^{2}$