SOLUTION: l=? w=? A= 120m P=46m

Question 464792: l=? w=?
A= 120m
P=46m
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
l=? w=?
A= 120m
P=46m
------------
P = 2(L+W) = 46
---
L+W = 23
------------------
A = LW = 120
L = 120/W
------------------
Solve the two equation system:
L+W = 23
L = 120/W
---
Substitute for "L" and solve for "W":
(120/W)+W = 23
---
120 + W^2 = 23W
---
W^2 - 23W + 120 = 0
---
W = [23+- sqrt(23^2-4*1*120)]/2
---
W = [23 + sqrt(49)]/2
--
W = 15 m
-----
Solve for "L":
L + W = 23
L + 15 = 23
L = 8 m
=====================
Cheers,
Stan H.
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