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MCQ Geometry - Quadrilaterals

The CAT Online Free Test Prep MCQs Geometry - Quadrilaterals

Geometry: Quadrilaterals

Question:

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If one of the sides of the rectangle shown in the figure has a length of 3, then the area of the rectangle is
Option A:      9
Option B:      13.5
Option C:      18
Option D:      27
Option E:      54
  A     B     C     D     E  
Show/Hide Answer and Explanation

Correct Answer: D

Explanation Video

Explanation

We are given that one of the sides of the rectangle has length 3. This implies that either x or x + 6 equals 3. If x + 6 equals 3, then x must be –3, which is impossible since a length cannot be negative. Hence, x = 3 and x + 6 = 3 + 6 = 9. The area of the rectangle, being the product of two adjacent sides of the rectangle, is x(x + 6) = 3(9) = 27. The answer is (D).

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How to Solve Quadrilaterals

For Quadrilaterals question first understand the statement and the question stem. Try to solve and click the corresponding answer option. The drop down will appear to show the correct answer and explanation.