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What is the area of the square in the figure above?
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06 Oct 2018, 15:04
06 Oct 2018, 15:04
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What is the area of the square in the figure above?
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50
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What is the area of the square in the figure above?
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15 Oct 2018, 07:09
15 Oct 2018, 07:09
sandy wrote:
Since the figure is a SQUARE, we can let x = the length of each side.
Now, let's focus on one of the triangles formed by the diagonal.
Since this is a RIGHT triangle, we can apply the Pythagorean Theorem to write: x² + x² = 10²
Simplify to get: 2x² = 100
Divide both sides by 2 to get: x² = 50
At this point we're done!
Why?
Well, the area of the square = side²
So, in this case, the area of the square = x², and we already learned that x² = 50
Answer: 50
gmatclubot
What is the area of the square in the figure above? [#permalink]
15 Oct 2018, 07:09
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