Question

Look at the image below

Answer 1

`A=4.5 square feet`

Explanation:

1. The missing side of triangle (a) is calculated:

`a=3^(2) +3^(2) +2(3)(3)cos140^(0)`

`a=18-13.7889`

`a=4.2112`

2. The semi-perimeter (s) is calculated:

`s=(a+b+c)/(2) =(4.2112+3+3)/(2)`

`s=5.106`

3. The area is determined:

`A=√(s(s-a)(s-b)(s-c)) =√(5.106(5.106-4.2112)(5.106-3)(5.106-3))`

`A=√(5.106(0.894)(2.106)(2.106))`

`A=√(20.26)`

`A=4.5`

Hope this helps.