Question

Find the area of the non-shaded portion. Given: ABED is a parallelogram.

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

Area of parallelogram ABED = Base $\times$ Height

Base = 12 m

Height = 6 m

Area of parallelogram ABED = 12 $\times$ 6 = 72 $m^2$

We know that the diagonal of the parallelogram divides it into two triangles with equal area.

Hence, area of triangle ADE = Area of parallelogram $\frac{ABED}{2}$

$=\frac{72}{2}=36m^2$

$\text{Now, the area of}\Delta BCE=\frac{1}{2}\times base\times height$
$=\frac{1}{2}\times 8\times 6$
$=24m^2$

Area of non - shaded portion = 36 + 24

= $60m^2$