A yard has a perimeter of 276 feet
The dimensions of the yard is
length = 102 feet and width is 36 feet
Given :
A yard has a perimeter of 276 feet.
six times the length of the yard equals seventeen times the width,
Let 'w' be the width of the yard
6 times the length = 7 times w
[tex]6(length)=17w\\length =\frac{17}{6} w[/tex]
We know that perimeter = 2(length )+2(width)
Lets replace length and width and make the perimeter equal to 276
[tex]length =\frac{17}{6} w\\Perimeter =2(\frac{17}{6} w)+2w\\276=2(\frac{17}{6} w)+2w\\\\2\left(\frac{17}{6}w\right)+2w=276\\\frac{17}{3}w+2w=276\\\frac{23}{3}w=276\\\\\frac{23}{3}w\cdot \:3=276\cdot \:3\\23w=828\\w=36[/tex]
Width of the yard is 36 feet
Length =[tex]\frac{17}{6}w=\frac{17}{6}(36)=102[/tex]
Length of the yard is 102 feet
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