2 answers:
Perimeter
2l + 2w = 27
l + w = 13.5
Area
l*w = 35
(35 / l) + l = 13.5
35 + l^2 = 13.5l
l^2 - 13.5l + 35 = 0
Using this equation, we can find the length first
then width can be found
<span>Let the width be W and length be L
LW = 35
L = 35/W
Perimeter = 2 ( Length + Width )
27 = 2 ( 35/W + W )
13.5 = (35+ W^2) / W
W^2 - 13.5W + 35 = 0
W^2 - 10W - 3.5W +35 = 0
W ( W -10) - 3.5 ( W - 10) = 0
( W-3.5) ( W-10) = 0
W = 3.5 or 10
ANSWER Width = 3.5' Length = 10'</span><span>
</span>
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