SOLUTION: What is the dimensions of a rectangle with a area of 2888 square meter and 228 meters for perimeter? Thanks Joshua

Question 1048563: What is the dimensions of a rectangle with a area of 2888 square meter and 228 meters for perimeter?
Thanks
Joshua
Found 2 solutions by josmiceli, MathLover1:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = length in meters
Let = width in meters
----------------------------
(1)
(2)
-----------------------
(1)
By substitution:
(2)
(2)
(2)
(2)
(2)
use qudratic formula

( now make , length in meters )
( not to be confused with the in
the quadratic formula )

and
(1)
(1)
(1)
The dimensions are 76 x 38
---------------------------
check:
(2)
(2)
(2)
(2)
OK

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
let the length be and the width
the area of rectangle is
the perimeter of rectangle is

if we have a rectangle with a area of and for perimeter, than we have
......eq.1
......eq.2
------------------------------solve this system
start with , solve for
.......substitute in eq.2

......eq.2..first simplify this one
......substitute
.......both sides multiply by

........factor

solutions:
or
now find
->
->
so,
and or the other way around

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