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The figure above is made up of 4 squares. If a straight line segment w

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Donnie84
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The figure above is made up of 4 squares. If a straight line segment w [#permalink] New post   20 Mar 2024, 12:45
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­The figure above is made up of 4 squares. If a straight line segment were to be drawn from A to B, it would have a length of \(8 \sqrt{2}\) units. What is the perimeter of the entire figure in units?

A. 20
B. 32
C. 40
D. 64
E. 80­
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Re: The figure above is made up of 4 squares. If a straight line segment w [#permalink] New post   26 Mar 2024, 09:17
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Donnie84 wrote:

­The figure above is made up of 4 squares. If a straight line segment were to be drawn from A to B, it would have a length of 8 2^(1/2) units. What is the perimeter of the entire figure in units?

A. 20
B. 32
C. 40
D. 64
E. 80­

­

I am not sure I understand the length. Is that 82^1/2 or 8*2^1/2. This is a weird one. Can you clarify pls?
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Re: The figure above is made up of 4 squares. If a straight line segment w [#permalink] New post   26 Mar 2024, 10:42
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bb wrote:
Donnie84 wrote:

­The figure above is made up of 4 squares. If a straight line segment were to be drawn from A to B, it would have a length of 8 2^(1/2) units. What is the perimeter of the entire figure in units?

A. 20
B. 32
C. 40
D. 64
E. 80­

­

I am not sure I understand the length. Is that 82^1/2 or 8*2^1/2. This is a weird one. Can you clarify pls?

­Fixed Now!
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Re: The figure above is made up of 4 squares. If a straight line segment w [#permalink] New post   12 Apr 2024, 16:09
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­This becomes a triangle which has the angles in the ratio of \(45:45:90\) or \(x:x:x\sqrt{2}\)

We do know this because the segment AB is \(8\sqrt{2}\)

which means that the other sides are 8

One side of a square is 4.

We want to know the perimeter of the shaded region which has 10 sides

\(4 \times 10 = 40\)

C is the answer
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Re: The figure above is made up of 4 squares. If a straight line segment w [#permalink]
12 Apr 2024, 16:09

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