The perimeter of a rectangle is 360 feet. The length is 30 feet less than three times the width of the rectangle. What are the dimensions of the rectangle.
x+x+30+30=360 Solve for x.
30ft lesst than three times the width is.. length = 3(w)-30 so the length is 3w-30, the perimeter is the sum of 2width + 2length 360=2w+2(3w-30)
62=360?
360=2w+2(3w)-2(30) 360=2w+6w-60 420=8w witdh=420/8=52.5 length=3w-30=3(52.5)-30=127.5
x+x+30+30=360 2x+60=360 Subtract 60 from 360 = 300 2x=300 Divide 300 by 2. x=150 Dimensions are 150x30
150/30=5
@calculusxy I think you're missing some information
@lucaz should i divide the width with 30 to get the dimension?
Yes I think I am. I am trying again.
the key is to represent the length correctly on the equation
I'm lost here
you have the width w, we don't know the value
we know the length is 30ft less than three times the width this can be represented by: length = 3(w)-30
yes
the perimeter is 2width+2length so 360=2w+2(3w-30), find the value of w that satisfies this equation and plug it in 3(w)-30 to find the length
L=3w-30=3(52.5)-30=127.5
yes
ok...so how do i get the dimension from here
if w(the width) is 52.5 and 3w-30(the length) is 127.5 the dimensions are 52.5 by 127.5
52.5x127.5?
yes, the sides of the rectangle
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