Question

In the quadrilateral ABCD, AC = 10 cm, DF = 4 cm, and BE = 3 cm. Find the area of quadrilateral ABCD.

• A. 15 $c{m}^2$
• B. 30 $c{m}^2$
• C. 35 $c{m}^2$
• D. 65 $c{m}^2$

Answer 1

The correct option is C 35 $c{m}^2$

Area of quadrilateral
= Area of $△$ABC + Area of $△$ADC

Area of triangle = $\frac{1}{2}$$\times$base$\times$height
Area of $△$ABC = $\frac{1}{2}$$\times$AC$\times$BE
= $\frac{1}{2}$$\times$10$\times$3 = 5$\times$3 = 15
Area of $△$ADC = $\frac{1}{2}$$\times$AC$\times$DF
= $\frac{1}{2}$$\times$10$\times$4 = 5$\times$4 = 20

Area of quadrilateral = 15+20 = 35 $c{m}^2$