the length of the fenced in area is to be 5 ft greater than the width and the total amount of fencing to be used is 89 ft find the width and length



Answer to a math question the length of the fenced in area is to be 5 ft greater than the width and the total amount of fencing to be used is 89 ft find the width and length

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Let's denote the width as \(w\) and the length as \(l\). The problem states that the length of the fenced area is 5 feet greater than the width: \[ l = w + 5 \] The total amount of fencing to be used is 89 feet, which includes both the length and the width: \[ 2w + 2l = 89 \] Now, substitute the expression for \(l\) from the first equation into the second equation: \[ 2w + 2(w + 5) = 89 \] Distribute and combine like terms: \[ 2w + 2w + 10 = 89 \] \[ 4w + 10 = 89 \] Subtract 10 from both sides: \[ 4w = 79 \] Divide by 4: \[ w = 19.75 \] Now that we have the width, we can find the length using the first equation: \[ l = w + 5 \] \[ l = 19.75 + 5 \] \[ l = 24.75 \] Therefore, the width is 19.75 feet and the length is 24.75 feet.

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