Register

CAT 2001 | Question: 2

• edited by
521 views
2 votes
2 votes

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

  1. $\frac{\sqrt{2}}{\sqrt{2}+1}$
  2. $\frac{2}{\sqrt{2}+1}$
  3. $\frac{2}{\sqrt{2} - 1}$
  4. $\frac{\sqrt{2}}{\sqrt{2}-1}$
• edited by
User Avatar

1 Answer

1 votes
1 votes

Option 2 is correct

X+2y=2.............(i) metre (square side)

X^2=y^2+y^2

Y=x/ sqrt(2)....... (ii)

Frm both eqns

X(sqrt(2) +1)=2

X=2/(sqrt(2) +1)

User Avatar
Voting & Accepting an answer helps improve the community
← PreviousNext →
← Previous in categoryNext in category →
Answer:

Related questions

0 votes
0 votes
0 answers
1
go_editor asked Apr 1, 2016
296 views
CAT 2001 | Question: 41
A rectangular pool $20$ metres wide and $60$ metres long is surrounded by a walkway of uniform width. If the total area of the walkway is $516$ square metres, how wide, in metres, is the walkway? $43$ m $4.3$ m $3$ m $3.5$ m
A rectangular pool $20$ metres wide and $60$ metres long is surrounded by a walkway of uniform width. If the total area of the walkway is $516$ square metres, how wide, i...
1 votes
1 votes
1 answer
2
go_editor asked Apr 1, 2016
520 views
CAT 2001 | Question: 40
Based on the figure below, what is the value of $x,$ if $y = 10?$ $0$ $11$ $12$ None of these
Based on the figure below, what is the value of $x,$ if $y = 10?$$0$$11$$12$None of these
1 votes
1 votes
2 answers
3
go_editor asked Mar 31, 2016
3,659 views
CAT 2001 | Question: 34
In $\triangle \text{DEF}$ shown below, points $\text{A, B,}$ and $\text{C}$ are taken on $\text{DE, DF}$ and $\text{EF}$ respectively such that $\text{EC = AC}$ and $\text{CF = BC}.$ If $\measuredangle \text{D} = 40^{\circ}$, then what is $\measuredangle \text{ACB}$ in degrees? $140$ $70$ $100$ None of these
In $\triangle \text{DEF}$ shown below, points $\text{A, B,}$ and $\text{C}$ are taken on $\text{DE, DF}$ and $\text{EF}$ respectively such that $\text{EC = AC}$ and $\tex...
0 votes
0 votes
0 answers
4
go_editor asked Mar 31, 2016
340 views
CAT 2001 | Question: 29
Euclid has a triangle in mind, Its longest side has length $20$ and another of its sides has length $10.$ Its area is $80.$ What is the exact length of its third side? $\sqrt{260}$ $\sqrt{250}$ $\sqrt{240}$ $\sqrt{270}$
Euclid has a triangle in mind, Its longest side has length $20$ and another of its sides has length $10.$ Its area is $80.$ What is the exact length of its third side?$\s...
1 votes
1 votes
1 answer
5
go_editor asked Mar 31, 2016
790 views
CAT 2001 | Question: 23
Two sides of a plot measure $32$ metres and $24$ metres and the angle between them is a perfect right angle. The other two sides measure $25$ metres each and the other three are not right angles. What is the area of the plot? $768$ $534$ $696.5$ $684$
Two sides of a plot measure $32$ metres and $24$ metres and the angle between them is a perfect right angle. The other two sides measure $25$ metres each and the other th...
Link Copied!