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In the diagram above, rectangles DEFG and WXYZ are similar. The ratio of the area of DEFG to WYXZ is 1:4. A student's work to find ZY is shown below. Describe and correct the error in finding ZY.

In the diagram above rectangles DEFG and WXYZ are similar The ratio of the area of DEFG to WYXZ is 14 A students work to find ZY is shown below Describe and cor class=

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budwilkins
Was the 12 of GF given??
The area ratio should be 1:4, so if l×w = area (a) of DEFG, then L×W = Area (A) of WXYZ.
Since 4:1 is 4×1, A = 4×a or 4a
Since GF is length (l) and is 12, we can say that 12w = a
12×4 = 48 for length of ZY (L), and WX is also 48, and to find W would be: 48W = A
48W = 4a, since A=4a
Not sure what else you want by the limited information given!

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