Question

Polygon $ABCDE$ is divided into parts as shown in adjoining figure. Find its area if $AD=8cm,AH=6cm,AG=4cm,AF=3cm$ and perpendiculars $BF=2cm,CH=3cm,EG=2.5cm.$

Answer 1

$\frac{x+1}{1}-\frac{y+2}{2}=\frac{z+4}{4}$

Point on line $A(1,2,4)$ direction ration $1,2,4$

$\frac{(x+1)}{1}-\frac{(y+2)}{2}=\frac{z+4}{4}$

$AD=8AG=4$

$AH=6cm$

$AF=3BF=2$

$CH=3$

$ED=3$

$EG=2.5$

Area $\left(1\right)=\frac{1}{2}\times 2\times 3=3$

$\left(2\right)\frac{1}{2}\left(5\right)\times 3=7.5$

$\left(3\right)\frac{1}{2}\times 3\times 2=3$

$\left(4\right)\frac{1}{2}\times 2.5\times 4=5$

$\left(5\right)\frac{1}{2}\times 2.5\times 42=5$

$=16+7.5$

$=23.5$ unit