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CAT 2001 — QA Question 2

Basics of Mensuration/PrismEasy

A square, whose side is 2 metres, has its corners cut away so as to form an octagon with all sides equal. Then the length of each side of the octagon, in metres is

Answer & solution

  • A

    22+1

  • 22+1

  • C

    22-1

  • D

    22-1

Solution

Let the side of the octagon be x, which is also the hypotenuse of the triangle in the corner of the square.

∴ TYhe other two sides of the triangle = x2

x2+x+x2=2

x=22+1

Hence, option (b).

CAT 2001 QA Q2: A square, whose side is 2 metres, has its corners cut away so as to form an octagon with all sides equal. Then — Solution | TheCATExam