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.
2006-07-17 10:12:12 · 12 answers · asked by Anonymous in Education & Reference ➔ Homework Help
L = 2w - 5
Perimeter = 230 ft, which is 2L + 2W
So, substitute in '2w - 5' for L
230 = 2(2w - 5) + 2w
230 = 4w - 10 + 2w
230 = 6w - 10
240 = 6w
w = 40 ft
Now you have the width, you can find the length.
L = 2w - 5
= 2*40 - 5
= 80 - 5
= 75 ft
2006-07-17 10:18:48 · answer #1 · answered by ted_armentrout 5 · 2⤊ 0⤋
"Translate" the words to math language
length is 5 less than twice its width
L = 2W - 5
Perimeter is 230 ft
P = 230
What is the perimeter? Two lengths and two widths
P = 2L + 2W
We know what L equals. So, 2(2W - 5) + 2W = 230
you can figure it out from there.
2006-07-17 17:17:11 · answer #2 · answered by mathster 1 · 0⤊ 0⤋
L= 2w-5
P= 230 = 2L + 2w
230=2(2w-5) + 2w
230=4w-10 + 2w.
Solve for w, then plug that number into L=2w-5; and you have yoru answer
2006-07-17 17:17:55 · answer #3 · answered by Amy 2 · 0⤊ 0⤋
equation is width = x
length = 2x - 5
perimeter = x+x+2x+2x - 5 - 5
simplified = 6x - 10
therefore 230 = 6x - 10
therefore 240 = 6x
therefore width = x which = 240/6
which equals 40
but thats the formula anyways!
2006-07-17 17:18:21 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Sorry been out of school for 30 yrs but there are educational sites that will help with questions like that. Here one:-)
2006-07-17 17:26:03 · answer #5 · answered by Anonymous · 0⤊ 0⤋
L=2w - 5
P=LxW
230= (2w-5)w
2006-07-17 17:24:46 · answer #6 · answered by Anonymous · 0⤊ 0⤋
its 75ft long and 40 ft wide.. next
2006-07-17 17:43:59 · answer #7 · answered by calinova22 2 · 1⤊ 0⤋
That would be cheating. Give me 10 pts. and I`ll give you the answer.
2006-07-17 17:17:04 · answer #8 · answered by Fightingpit 5 · 0⤊ 1⤋
theres a difference between asking for the answer to a problem and asking how to solve it
2006-07-17 17:16:39 · answer #9 · answered by Anonymous · 0⤊ 1⤋
How will you learn if others do your homework for you?
2006-07-17 17:15:23 · answer #10 · answered by shire_maid 6 · 0⤊ 0⤋