Question #bbb9e
1 Answer
Dec 17, 2017
The greatest possible width of the rectangle is 10 meters.
Explanation:
Let the width be w. It is given that the length is 8 meters less than 5 times the width, so let the length be 5w-8.
The perimeter of a rectangle is the sum of twice the length and twice the width, so the perimeter will be as follows:
We know that the perimeter is at most 104 meters, so to find the greatest width, we can set our perimeter equal to 104:
We can now simplify this and solve the equation to get the maximum possible width:
Therefore, the maximum possible width is 10 meters.