Answer: The length of the rectangle is 39 ft
The width of the rectangle is 16 ft
Explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The length of a rectangle is 7 ft longer than twice the width. It means that
L = 2W + 7 - - - - - - - - -1
The perimeter of a rectangle is expressed as 2length + 2width
Perimeter = 2(L + W)
If the perimeter is 110 ft, it means that
2(L + W) = 110
L + W = 110/2 = 55 - - - - - - - - -2
Substituting equation 1 into equation 2, it becomes
2W + 7 + W = 55
3W = 55 - 7 = 48
W = 48/3 = 16
L = 55 - W = 55 - 16
L = 39