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# rhombus

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In rectangle ABCD, AB = 18, BC = 24, and AECF is a rhombus. Find FD. The figure is not drawn to scale.

Feb 28, 2021

#1
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lets call FD x.

18^2+x^2=(24-x)^2

324+x^2=576+x^2-48x

48x=252

x=$\boxed{\frac{21}{4}}$

Feb 28, 2021