From the figure, find the area of quadrilateral ABCD when AC = 4 cm.
Answer & explanation
Correct answer: option 3
Area of quadrilateral ABCD = Area of triangle ABC + Area of triangle ADC
Area of a triangle = \(\frac{1}{2}\) × Base × Height
Area of triangle ABC = \(\frac{1}{2}\) × 4 × 1.8 = 3.6 cm²
Area of triangle ADC = \(\frac{1}{2}\) × 4 × 2.2 = 4.4 cm²
Now, Area of quadrilateral ABCD = 3.6 + 4.4
= 8cm²
The correct answer is Option (3) → $8 cm^2$