Equation for the platform that has a perimeter of 44 feet is
[tex]44=2(2w+7)+2(w)[/tex]
Width of the platform = 5 feet
Length of the platform = 17 feet
Given :
The length of a platform must be seven more than twice its width.
perimeter is 44 feet
Let 'w' be the width of the platform
Length is 7 more than twice the width
So , length = 2(width)+7
Length of platform = 2w+7
Perimeter of platform =[tex]2(length )+2(width )[/tex]
we know that perimeter =44, length = 2w+7 and width =w
Replace it in the formula
[tex]Perimeter =2(length )+2(width )\\44=2(2w+7)+2(w)\\44=4w+14+2w[/tex]
Equation based on the given information is
[tex]44=2(2w+7)+2(w)[/tex]
Solve the equation for 'w'
[tex]44=2(2w+7)+2(w)\\44=4w+14+2w\\44=6w+14\\44-14=6w\\30=6w\\divide \; by \; 6\\w=5[/tex]
Width of the platform = 5 feet
Length = 2w+7=2(5)+7=17
Length of the platform = 17 feet
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