Question

Find the area of the quadrilateral shown below.

• A. 46 $c{m}^2$
• B. 40 $c{m}^2$
• C. 36 $c{m}^2$
• D. 42 $c{m}^2$

Answer 1

The correct option is B 40 $c{m}^2$

Given,
Length of the diagonal = d = 10 cm
The lengths of the perpendiculars dropped on AC are 5 cm and 3 cm.
So, $h_1$= 5 cm and $h_2$= 3 cm
Now,
Area of ABCD $=\frac{d}{2}(h_1+h_2)$
= $\frac{10}{2}$(5 + 3)
= $\frac{10}{2}$ $\times$ 8
$=5\times 8$ = 40 $c{m}^2$
Area of the quadrilateral = 40 $c{m}^2$