Answer:
The length of the rectangle is 27 ft.
Explanation:
To determine the length of the rectangle, we will first determine the value of x.
From the question,
The length of the rectangle is 2x + 16
The width is 3x - 1
and the perimeter is 85 ft
From the formula for perimeter of a rectangle which is given by
P = 2(l+w)
Where P is the perimeter
l is the length
and w is the width
Then, we can then write that
85 = 2(2x+16 + 3x - 1)
85 = 2(5x + 15)
85 = 10x + 30
10x = 85 - 30
10x = 55
x = 55/10
x = 5.5 ft
Since the length of the rectangle is 2x+16, substitute the value of x
Therefore
l = 2x + 16
l = 2(5.5) + 16
l = 11 + 16
l = 27 ft
Hence, the length of the rectangle is 27 ft.