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In the quilting pattern shown above, a small square has its vertices on the sides of a larger square. What is the side length, in centimeters, of the larger square?
1) The side length of the smaller square is \(10\,\text{cm}\)
2) Each vertex of the small square cuts \(1\) side of the larger square into \(2\) segments with lengths in the ratio \(1:2\)
OA C
In the quilting pattern shown above, a small square has its vertices on the sides of a larger square. What is the side
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There is one unknown, that is the side of the larger square.AAPL wrote: ↑Wed May 31, 2023 8:46 amOfficial Guide
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In the quilting pattern shown above, a small square has its vertices on the sides of a larger square. What is the side length, in centimeters, of the larger square?
1) The side length of the smaller square is \(10\,\text{cm}\)
2) Each vertex of the small square cuts \(1\) side of the larger square into \(2\) segments with lengths in the ratio \(1:2\)
OA C
We need something that gives us the side of the bigger square that is in either a variable form which could be determined or in a direct value form.
Statement 1 does not have any relation to side of bigger square, hence insufficient. \(\Large{\color{red}\chi}\)
Statement 2 gives a variable relation as, if the side of the bigger square is \(3x\), then the triangles whose hypotenuse is given by Statement 1 has sides \(2x\) and \(x\) which gives an equation to determine \(x (4x^2 + X^2 = 10^2)\). \(\Large{\color{red}\chi}\)
Therefore, both statements are required together to arrive at a definite answer, which means, the correct answer is C