We have a rectangle with width x ft., so the length is (x+5 ft.). The perimeter, or length of the border is equal to 2x+2(x+5 ft.) and cannot be longer than 180ft. This can be expressed as:
`2x+2(x+5)<=180`
`2x+2x+10<=180`
`4x+10<=180`
`4x<=180-10`
`x<=170/4`
`x<=42.5 ft.`
Thus the width needs to be...
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We have a rectangle with width x ft., so the length is (x+5 ft.). The perimeter, or length of the border is equal to 2x+2(x+5 ft.) and cannot be longer than 180ft. This can be expressed as:
`2x+2(x+5)<=180`
`2x+2x+10<=180`
`4x+10<=180`
`4x<=180-10`
`x<=170/4`
`x<=42.5 ft.`
Thus the width needs to be less than 42.5 ft.