Question

find the area of following polygons in figure 14.11.​

Answer 1

Answer:

calculate the area of all triangles one by one by using formula

1/2 × b× h

and add all

Answer 2

Answer:

Area of polygon, ABCDEF = 39.5 $cm^2$

Step-by-step explanation:

Let,s break the given polygon in different triangles and then find the area od each triangle to get the area of polygon.

As we know,

$\ area\ of\ a\ triangle\ =\ \dfrac{base\times height}{2}$  

$\textrm{So,\ area\ of\ triangle}\ EDF\ =\ \dfrac{1}{2}\times 5\times 2\ cm^{2}\\\\=5\ cm^2$

$\textrm{\ area\ of\ triangle}\ DCF\ =\ \dfrac{1}{2}\times 7\times 4\ cm^{2}\\\\=14\ cm^2$

$\textrm{\ area\ of\ triangle}\ CBF\ =\ \dfrac{1}{2}\times 7\times 4\ cm^{2}\\\\=14\ cm^2$

$\textrm{\ area\ of\ triangle}\ EDF\ =\ \dfrac{1}{2}\times 6.5\times 2\ cm^{2}\\\\=6.5\ cm^2$

So, area of polygon ABCDEF = (5+14+14+6.5) $cm^2$ = 39.5 $cm^2$