Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

Calculate the area of rectangle field where one side is 16 cm and diagonal 20 cm.

Options:

$182 ~cm^2$

$190 ~cm^2$

$192 ~cm^2$

$164 ~cm^2$

Correct Answer:

$192 ~cm^2$

Explanation:

ACD isa right angle triangle, 

let ,AC = 20 cm and AD = 16cm

 By using pythagoras theorem,

AC² = AD² + DC²

20² = 16² + DC²

400 = 256 + DC²

DC = 12 cm

Area of rectangle = l × b

= 16 × 12

 192 cm²

The correct answer is Option (3) → $192 ~cm^2$