Question

$ABCD$ is a square field of side $80m$. If $EF$ is perpendicular to $DC$, find the area of $\Delta EDC$ and the area of the shaded portion respectively.

• A. $3200m^2,3200m^2$
• B. $3200m^2,3500m^2$
• C. $3600m^2,3200m^2$
• D. $3200m^2,3600m^2$

Answer 1

The correct option is A $3200m^2,3200m^2$

ar $\Delta EDC=\frac{1}{2}DC\times EF$

$=$ $\frac{1}{2}\times 80\times 80$

$=$ $3200$ $m^2$

area of shaded portion $=$ Area of square - $3200$ $m^2$

$=$ $(80\times 80)-3200$

$=$ $3200$ $m^2$