Answer:
Width of rectangle = 8 feet
Length of rectangle = 30 feet.
Explanation:
Let the width of garden be X meter.
Given length of garden is thrice the width of garden added with 6 feet.
Mathematically length of garden in terms of X will be
length of garden = 3X (thrice the width of garden) + 6
Perimeter of garden is 76 feet.
Formula to calculate perimeter of rectangle is = 2( length * width)
Perimeter of garden = 2( length * width)
Substituting value of Perimeter of garden and length and width of garden in terms of X we have given below equation
76 = 2 ( X +3X+6)
=> 76/2 = 4X + 6
=> 38 - 6 = 4X
=> X = 32/4 = 8
Therefore
width of rectangle = X = 8 feet
Length of rectangle = 3X+6 = 3*8 + 6 = 30 feet.