SOLUTION: Mr. Bonifacio wouldlike 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 1. How wo

Question 978300: Mr. Bonifacio wouldlike 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
1. How would you represent the dimensions of each garden?
2. What mathematical sentence would represent the length of fencing materials to be used in enclosing the two gardens?
3. How will you find the dimensions of each gardens?
4. What equations will you use in finding the dimensuons of each garden?
5. How would you describe the equations formulated in item 4? How are you going to find the solutions of this equations?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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.
RELATED QUESTIONS
Hi, please help me. It's about quadratic equation, Mr. Bonifacio would like to enclose... (answered by josgarithmetic)

A gardener had 1500 feet of fencing to enclose three adjacent rectangular gardens.... (answered by Alan3354)

A gardener has 100 meters of fencing to enclose two adjacent rectangular gardens (see... (answered by ikleyn)

mang jose wants to enclose his rectangular garden with 120 meters of fencing materials.... (answered by josgarithmetic,ikleyn)

1. Mr reid wants to paint the ceiling of a room that has a length of (c^2+2cd+d^2) meters (answered by ikleyn)

Two gardens are being Fenced in. Both Gardens Will require the same amount of fencing... (answered by macston)

Please help me solve this.Two apartment tenants have a total of 2400 feet of fencing to... (answered by stanbon)

city government would like to fence a rectangular playground 14 m by 30 m. How many... (answered by saifoo.khan)

Two gardeners are building fences around each of their rectangular 100 square yard... (answered by josgarithmetic)