The ratio of an area of a square to that

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The ratio of an area of a square to that of square drawn on its diagonal is?

Options:

2 : 3

1 : 1

1 : 2

1 : 4

Correct Answer:

1 : 2

Explanation:

If a is side of square ABCD,

diagonal AC = \(\sqrt {2}\)a

Area of ABCD = a²

Area of square ACEF drawn on diagonal AC is = (\(\sqrt {2a}\))²

Ratio of area of square ABCD to ACEF = a² : (\(\sqrt {2a}\))² = 1 : 2