Question

find the area of polygon ABCD whose measurement in metres are given the following figure

Answer 1

Answer:

Step-by-step explanation:

→ There are three triangles comprising the pentagon

& area of triangle by heron's formula =  

s(s−a)(s−b)(s−c)

​  

 

△  

1

​  

 

a = b = 8 , c = 12  

S=  

2

8+8+12

​  

=14

△  

1

​  

=  

14(6)(6)(2)

​  

 

=6×2  

7

​  

 

△  

2

​  

 

a = b = 12, b = 10

S = 17

△  

2

​  

 

17(5)(5)(7)

​  

 

=5  

119

​  

 

△  

3

​  

 

a = 10, b = 10, c = 12

S = 16

△  

3

​  

=  

16(6)(6)(4)

​  

 

=6×4×2=48

⇒ Total area =48+12  

7

​  

+5  

119

​  

m  

2