SOLUTION: Introductory Algebra ISBN 0321279212 Chapter 6.7
Solve this application. Quadratic Equations.
One side of a rectangular patio is 3 meters longer than the other. If the area of t
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Question 210395: Introductory Algebra ISBN 0321279212 Chapter 6.7
Solve this application. Quadratic Equations.
One side of a rectangular patio is 3 meters longer than the other. If the area of the patio is 108 square meters, what are the dimensions of the patio?
Answer by tutor_paul(519) (Show Source): You can put this solution on YOUR website!
Define the following variables:
L=length of patio
W=width of patio
======================
You are given this...
Equation #1:
And this:
Equation #2:
=====================
You have 2 equations and two unknowns. Anytime you have as many equations as unknowns, you can solve the problem.
Substitute the expression for L from Equation #1 into Equation #2:
Simplify:
Factors of this polynomial are:
Solve for W - throw away negative result:
Substitute this value of W into Equation #2 to get L. I will leave that part up to you.
===============
Good Luck,
tutor_paul@yahoo.com
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