A rectangle has length 24 cm and diagona

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

A rectangle has length 24 cm and diagonals of length 25 cm each. The area of the rectangle (in cm²):

Options:

576

312.5

288

168

Correct Answer:

168

Explanation:

By using Pythagoras theorem,

AC² = AB² + BC²

25² = 24² + BC²

625 = 576 + BC²

BC = 7 cm

Area of rectangle = Length × Breadth

= 24 × 7

= 168 cm²