Question

The area of quadrilateral whose vertices are (–1, 3), (2, 4),

(3, 6) and (5, –2) is-

• A. $\frac{33}{4}$
• B. 33
• C. $\frac{31}{2}$
• D. $\frac{33}{2}$

Answer 1

Answer: (D)

$\frac{33}{2}$

Answer 2

Area = $\frac{1}{2}$ $\left| \begin{matrix}

• 1 & 3 \ 2 & 4 \ 3 & 6 \ 5 & - 2 \
• 1 & 3 \end{matrix} \right|$

= $\frac{1}{2}$ [(–4 + 12 – 6 + 15) – (6 + 12 + 30 + 2)]

= $\frac{33}{2}$