Question 825485: A farmer wants to enlarge an existing rectangular pigpen such that the total area of the new pen is twice as large as the original pen. The current pen's dimensions are 20' x 27' . The farmer wants to add 14 feet more to the long side than to the short side. Find the dimensions of the new pen.
Can't figure out how to solve this :( Please help!
Found 2 solutions by TimothyLamb, MathTherapy:
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
a = 20*27
a = 540 sq.ft
---
A = 2a
A = 1080 sq.ft
---
x = new length
y = new width
---
1080 = xy
x = y + 14
---
1080 = xy
1080 = (y + 14)y
1080 = yy + 14y
yy + 14y - 1080 = 0
---
the above quadratic equation is in standard form, with a=1, b=14, and c=-1080
---
to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 14 -1080
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
---
the quadratic has two real roots at:
y = 26.6005952
y = -40.6005952
---
the negative root doesn't fit the problem statement, so use the positive root
---
answer:
y = new width = 26.6005952 ft
x = new length = 40.6005952 ft
---
check:
A = xy
A = 1080
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 4-equations 4-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
Answer by MathTherapy(10553)  (Show Source):
You can put this solution on YOUR website!
A farmer wants to enlarge an existing rectangular pigpen such that the total area of the new pen is twice as large as the original pen. The current pen's dimensions are 20' x 27' . The farmer wants to add 14 feet more to the long side than to the short side. Find the dimensions of the new pen.
Can't figure out how to solve this :( Please help!
New length of shorter side: 20 + 4, or 
New length of longer side: 27 + 4 + 14, or 
You can do the check!!
Send comments, thank-yous, and inquiries to D at MathMadEzy@aol.com.
Further help is available, online or in-person, for a fee, obviously.
For FREE info and answers to questions about the ASVAB exam, the NYS 3 8 city/state wide exams,
GENERAL MATH QUESTIONS, MATH HOMEWORK QUESTIONS, or MATH QUESTIONS related to the Regents Integrated Algebra,
Regents Geometry, Regents Algebra 2/Trigonometry, SHSAT, COOP/HSPT/TACHS, PSAT, SAT, ACT, SSAT/ISEE, GRE, CLEP,
and the GED, you can visit: http://asvabstudyzone.freeforums.net/.
|
|
|
