SOLUTION: Hi, I cant even get started on this problem after reviewing my textbook all day. Any help is greatly appreciated! 14 Solve using the five-step problem-solving process. Show

Question 314212: Hi,
I cant even get started on this problem after reviewing my textbook all day. Any help is greatly appreciated!
14 Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.
A rectangular cabinet door has a 20 inch by 38 inch glass panel in the center with a uniform wooden edge around the glass. If the area of the wooden edge is 248 square inches, how wide is the wooden edge?
Thank you, Daniel

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Solve using the five-step problem-solving process.
Show all steps necessary to arrive at your solution.
A rectangular cabinet door has a 20 inch by 38 inch glass panel in the center
with a uniform wooden edge around the glass.
If the area of the wooden edge is 248 square inches, how wide is the wooden edge?
:
Let x = the width of the wooden edge
:
Find the total area of the glass and the edge
(20*38) + 248 = 1008 sq/in
:
The dimensions of the total area, which include the wooden edge, will be:
(2x+20) by (2x+38)
:
The total area equation
(2x+20) * (2x+38) = 1008
FOIL
4x^2 + 76x + 40x + 760 = 1008
Arrange as a quadratic equation
4x^2 + 116x + 760 - 1008 = 0
:
4x^2 + 116x - 248 = 0
Simplify, divide by 4, resulting in
x^2 + 29x - 62 = 0
Factors to
(x+31)(x-2) = 0
positive solution only is what we want here
x = 2 in is the width of the wooden edge
:
:
Check solution finding the difference in area
24 * 42 = 1008, overall area
20 * 38 = 760, glass area
-------------------
differ: = 348, given area of wooden edge

RELATED QUESTIONS
Hi there, I'm reviewing for a test and not quite sure how to solve the following problem: (answered by stanbon)

Please help me solve this word problem: How many gallons of a 12% indicator solution... (answered by scott8148)

Hello, Sorry if this has the wrong topic, I wasn't sure which one to choose, the question (answered by Fombitz)

Hi, Can someone please help me? I have to show all my work, and I don't even know how to... (answered by solver91311)

Good Afternoon, Sam here. I am having a terrible time trying to solve this story or word... (answered by edjones)

Please help im stuck on liner equations the problem is 4y+3x=-12. I need to do this in... (answered by checkley71)

2log3(x-5)=12 i cant remember how to solve this. Any help is greatly appreciated thank... (answered by ankor@dixie-net.com)

Americans are recycling about 61.9% of all yard trimmings. What amount of yard trimmings... (answered by mykasha)

Does anyone have a good website that can explain functions and graphs in plain English. I (answered by stanbon)