An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 400 feet of antique picket fencing are to be used to enclose the garden, find the dimensions

Daniel Shapero asked Oct 22, 2023

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Daniel Shapero asked Oct 22, 2023

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25 votes

Answer:

10√(6) feet by
(20)/(3)√(6) ft

Explanation:

If the length is
, then the width is
(2)/(3)l .

Using the formula for the area of a rectangle,

$l \cdot (2)/(3)l=400 \\ \\ (2)/(3)l^2=400 \\ \\ l^2=600 \\ \\ l=10√(6)[ \\ \\ \implies w=(20)/(3)√(6)$

Shahina answered Oct 27, 2023

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