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.
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Let x = width
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It says
"the length of a rectangular playing field is 5 ft less than twice its width."
Therefore:
length = (2x - 5)
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If the perimeter of the playing field is 230 ft,
Perimeter: 2L + 2W = 230
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Substitute (2x-5) for L and x for w and you have:
2(2x-5) + 2x = 230
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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:
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Find the length; L = 2W-5
2(40) - 5 = 75 ft is the length
:
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Check solution; find the perimeter with these values:
2(75) + 2(40) = 230; confirms our solution
:
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Make sense to you??
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