rudygurrolap2m3ij
rudygurrolap2m3ij rudygurrolap2m3ij
  • 14-05-2018
  • Mathematics
contestada

The length of a rectangle is one more that three times its width. If the perimeter is 42 inches, find the dimensions of the rectangle.

Please show all work.

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anonymous12345678901
anonymous12345678901 anonymous12345678901
  • 14-05-2018
Let w=width
L= length
3w+1=l
Perimeter -2(l+w)
2(W+3w+1)=42
Divide both sides by 2
W+3w+1=21
Subtract 1
W+3w=20
Add like terms
4w=20
Divide both sides by 4
W=5
The width is 5 inches

3w+1=l
Input the width into the equation
3(5)+1=l
15+1=l
16=l
The length of the rectangle is 16 inches

The rectangle is 5 x 16 inches
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