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# If square WXYZ above has an area of 100, what is the length of diagona

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If square WXYZ above has an area of 100, what is the length of diagona [#permalink]

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27 Apr 2017, 22:56
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If square WXYZ above has an area of 100, what is the length of diagonal XZ ?

A. 10
B. 10$$\sqrt{2}$$
C. 10$$\sqrt{3}$$
D. 100$$\sqrt{2}$$
E. 100$$\sqrt{3}$$
[Reveal] Spoiler: OA

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Re: If square WXYZ above has an area of 100, what is the length of diagona [#permalink]

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28 Apr 2017, 01:24
Area = side^2 = 100
Side is 10
Diagonal of square is side * sqrt(2)
In this case its 10 * sqrt(2) (Option B)
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Re: If square WXYZ above has an area of 100, what is the length of diagona [#permalink]

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02 May 2017, 15:54
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Expert's post
If square WXYZ above has an area of 100, what is the length of diagonal XZ ?

A. 10
B. 10$$\sqrt{2}$$
C. 10$$\sqrt{3}$$
D. 100$$\sqrt{2}$$
E. 100$$\sqrt{3}$$

In determining the length of diagonal XZ, we may recall that the diagonal of a square is always equal to side√2.

Since the area of the square is 100, and area = side^2, the side of the square is equal to 10.

Thus, the diagonal = 10√2.

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Re: If square WXYZ above has an area of 100, what is the length of diagona   [#permalink] 02 May 2017, 15:54
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