help ! wih solving word problems?
Favorite Answer
let x = width
then length = (2x – 5)
p = 2x + 2(2x – 5) = 230
2x + 4x – 10 = 230
6x = 240
x = 40 = width
2(40) – 5 = 75 = length
proof
p = 2(75) + 2(40) = 150 + 80 = 230
Next, you know that the length is equal to 2 times W minus 5. In an eqution this is written as 2W -5 = L. Now all you have to do is substitute the amount 2W -5 into your first equation wherever you see an L.
2L + 2W = 230 now becomes 2(2W-5) + 2W = 230. Multilply this out and you get 4W -10 + 2W = 230. Add 10 to each side and you get 4W + 2W = 240 Add the 4W and 2W and now you have 6W = 240. Divide both sides by 6 and now you know that W = 40.
Go back you your first equations and substitute 40 for the W. 2L + 2(40) = 230. Multiply and now you have 2L + 80 = 230. Subtract 80 from each side and you get 2L = 150. Divide both sides by 2 and Voila! L = 75.
Width is 40
40+40+75+75=230
Figured that out in my head in less than 30 seconds– woohooo!
and width be W
and perimeter be P
L=2W-5
and P=2(L+W)=230
now substitute
2(2W-5+W)=230
2(3W-5)=230
3W-5=115
3W=120
W=40ft
but L=2W-5
then L=2(40)-5
L=80-5
L= 75ft
there u go, i think this is how its done.
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