Question 978300
Mr. Bonifacio would like to enclose his two adjacent rectangular gardens with 70.5 m of fencing materials.
 The gardens are of the same size and their total area is 180 m2
:
Like this two long sides, three widths:
____
|_|_|
:
2L + 3W = 70.5
divide equation by 2
L + 1.5W = 35.25
L = 35.25 - 1.5W
:
L * W = 180
replace L with (35.25-1.5W)
(35.25 - 1.5W) * W = 180
35.25W - 1.5W^2 = 180
A quadratic equation
-1.5W^2 + 35.25W - 180 = 0
Using the quadratic formula, I got two solutions
W = 16.0; not reasonable for the width
and
W = 7.5 meters is the width
:
Find the length using the area
L = 180/7.5 = 24 meters is the length
:
:
See if that checks out
2(24) + 3(7.5} = 
48 + 22.5 = 70.5 meters of fencing in required 

:
You should be able to answer those questions now.