What is the length of a rectangular garden whose perimeter is 32 cm and area 39 cm^2?
2 answers:
39 minicus 32=7
Step-by-step explanation:
39 `IS THE AREAand 32 cm is the perimeter.7 is the length
Answer:
Length = 13 cm.
Step-by-step explanation:
If the length is L and the width is W we have the system:
2L + 2W = 32
LW = 39
From the first equation:
L + W = 16 and
L = 16 - W
Substitute this in the second equation:
W(16 - W) = 39
16W - W^2 = 39
W^2 - 16W + 39 = 0
(w - 13)(W - 3) = 0
W = 13, 3
As W < L, W must be 3 because L = 16-13 = 3 does not make sense.
So Length = 16 - 3 = 13.
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Step-by-step explanation:
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