Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

In the figure, ABCD is a square. Area of the shaded portion is:

Options:

90 sq. units

100 sq. units

84 sq. units

72 sq. units

Correct Answer:

90 sq. units

Explanation:

The area of the shaded portion = Area of square ABCD - ( Area of DGF + Area of EBC )

The area of the shaded portion = 12 × 12 - (\(\frac{1}{2}\) × 8 × 6 + \(\frac{1}{2}\) × 5 × 12 )

= 144 - 24 - 30 = 90

The area of the shaded portion = 90 sq. units