Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

From the figure, find the area of quadrilateral ABCD when AC = 4 cm.

Options:

$16 cm^2$

$4 cm^2$

$8 cm^2$

$12 cm^2$

Correct Answer:

$4 cm^2$

Explanation:

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 (2) → $4 cm^2$