SOLUTION: I always have problems with this type of word problem How can I solve this and write the equation for it? please help The length of a rectangular playing field is 5 ft less than

Question 88065: I always have problems with this type of word problem How can I solve this and write the equation for it? please help
The length of a rectangular playing field is 5 ft less than twice its width. If the perimeter of the playing field is 230 ft, find the length and width of the field.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
he length of a rectangular playing field is 5 ft less than twice its width. If the perimeter of the playing field is 230 ft, find the length and width of the field.
:
Let x = width
:
It says
"the length of a rectangular playing field is 5 ft less than twice its width."
Therefore:
length = (2x - 5)
;
If the perimeter of the playing field is 230 ft,
Perimeter: 2L + 2W = 230
:
Substitute (2x-5) for L and x for w and you have:
2(2x-5) + 2x = 230
:
WE can simplify, divide each term by 2 and you have
2x - 5 + x = 115
2x + x = 115 + 5; add 5 to both sides:
3x = 120
x = 120/3
x = 40 ft is the width:
:
Find the length; L = 2W-5
2(40) - 5 = 75 ft is the length
:
:
Check solution; find the perimeter with these values:
2(75) + 2(40) = 230; confirms our solution
:
;
Make sense to you??

RELATED QUESTIONS
I always have problems with this type of word problem How can I solve this and write the... (answered by ankor@dixie-net.com)

Hello please help me. I just can not deal with word problems. I always mess them up... (answered by Fombitz)

Hello I made a mistake earlier and was asked to repost this. I just can not deal with... (answered by stanbon)

I have always struggled with word problems and I need some help. Can you explain how to... (answered by rfer,Alan3354)

Please help me write the equation for this problem. I have a challege processing word... (answered by ankor@dixie-net.com)

I am learning about linear word problems, perpendicular lines, and horizontal and... (answered by solver91311)

Ratio and Proportion 1. A lawyer bills her clients $200 per hour of service. If a... (answered by stanbon)

The length of a rectangle is twice the width. The perimeter is 36 feet. Find the length... (answered by stanbon)

I am having a hard time setting up two equations for this word problem: A shopkeeper has (answered by bucky)