June 15, 2021 3:17 pm
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[Solved] Polygons square
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ABCD is a square picture frame (see figure). EFGH is a square inscribed within ABCD as a space for a picture. The area of EFGH (for the picture) is equal to the area of the picture frame (the area of ABCD minus the area of EFGH). If AB=6, what is the length of EF?
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The area of the frame and the area of the picture sum to the total area of the image, which is or 36. Therefore, the area of the frame and the picture are each equal to half of 36, or 18. Since EFGH is a square, the length of EF is
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