Question

If AB = 2 m, Find the Area of the $△$ EOA. E is the midpoint of AB.

• A. $\frac{1}{4}{m}^2$
• B. $\frac{1}{2}{m}^2$
• C. $1m^2$
• D. $\frac{3}{4}{m}^2$

Answer 1

The correct option is A

$\frac{1}{4}{m}^2$

AD and AB are given.

AE = $\frac{AB}{2}$ = $\frac{2}{2}$ = 1 m

EO = $\frac{EF}{2}$ = $\frac{1}{2}$ m

$\therefore$ Area of the $△$ EOA = $\frac{1}{2}\times Base\times Height$

= $\frac{1}{2}\times AE\times EO$

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

= $\frac{1}{4}{m}^2$