Question

Find the area enclosed by each of the given figures:

Answer 1

(i) Area $=$ area of $\square AEDC+$ area of $△ABC$ [ref. image (i)]

$=4\times 4+\frac{1}{2}\times 4\times 2$

$=16+4=20c{m}^2$

(ii) Area $=$ are of trapezium $DEFC+$ area of $\square ABCF$ [ref. image (ii)]

$=\frac{8}{2}\times (7+18)+18\times 18$

$=4\times 25+18\times 18$

$=100+324$
$=424c{m}^2$

(iii) Area $=$ area of trapezium $EDAF+$ area of $\square ABCD$ [ref. image (iii)]

$=\frac{8}{2}\times (6+20)+20\times 20$
$=4\times 26+400$

$=104+400$

$=504c{m}^2$