The length and width of the given rectangle are 52 ft and 48 ft respectively.
Solution:
The relationship between the length and breadth is given as following:
The length is 4 more feet than the width
The perimeter of the rectangle is given as 200 ft.
The formula to find the perimeter of a rectangle is:
Perimeter = 2(length + width)
Let length and width of the rectangle be denoted as ‘L’ and ‘B’
The given relationship between length and width can be written in equation form as follows:
L = 4 + B ------ eqn 1
Substitute the value of "L" in perimeter of triangle
200 = 2(4 + B + B)
200 = 2(4 + 2B)
200 = 8 + 4B
4B = 192
B = 48
Since, we know the value of width lets substitute it in eq1 to find the length.
L = 4 + 48
L = 52
Therefore, the length and width of the given rectangle are 52 ft and 48 ft respectively.