Solveeit Logo

Question

Question: The area of the pentagon whose vertices are (4, 1) (3, 6) (–5, 1) (–3, – 3) and (–3, 0) is...

The area of the pentagon whose vertices are

(4, 1) (3, 6) (–5, 1) (–3, – 3) and (–3, 0) is

A

30 unit2

B

60 unit2

C

120 unit2

D

None

Answer

30 unit2

Explanation

Solution

= 12{435334161301}\frac{1}{2}\begin{Bmatrix} 4 & 3 & - 5 & - 3 & - 3 & 4 \\ 1 & 6 & 1 & - 3 & 0 & 1 \end{Bmatrix}

=12\frac{1}{2} [24 – 3 + 3 + 30 + 15 + 3 – 9 – 3]

=12\frac{1}{2}| 60 | = 30 unit2