Question

Length of diagonal and perpendiculars from remaining vertices are given. Find area of quadrilateral.

• A. 9 $c{m}^2$
• B. 8 $c{m}^2$
• C. 15 $c{m}^2$
• D. 18 $c{m}^2$

Answer 1

Area of quadrilateral =
$\frac{1}{2}$$\times$(length of diagonal)$\times$(Sum of perpendiculars from remaining vertices)

For 3 cm, 4 cm, 2 cm
Area of quadrilateral = $\frac{1}{2}$$\times$3$\times$(4+2)
= 9 $c{m}^2$

For 4 cm, 2 cm, 2 cm
Area of quadrilateral = $\frac{1}{2}$$\times$4$\times$(2+2)
= 8 $c{m}^2$

For 5 cm, 4 cm, 2 cm
Area of quadrilateral = $\frac{1}{2}$$\times$5$\times$(4+2)
= 15 $c{m}^2$

For 6 cm, 4 cm, 2 cm
Area of quadrilateral = $\frac{1}{2}$$\times$6$\times$(4+2)
= 18 $c{m}^2$