Answer:
The length of the rectangle is 159923.5 and the width of 53289.5
Step-by-step explanation:
We will make 2 equations one that is the perimeter and another that is the length with respect to the width
b = w*3+55
2b + 2 w = 426426
we will replace b with (w * 3 + 55) in the second equation
2b + 2 w = 426426
2(w*3+55) + 2w = 426426
we clear w to find its value
6w + 110 + 2w = 426426
8w = 426426 - 110
8w = 426316
w = 426316/8
w = 53289.5
Now that we have the value of w we replace it in the first equation and solve to find b
b = w*3 + 55
b = 53289.5*3 + 55
b = 159868.5 + 55
b = 159923.5
Answer: length = 173.5 yards
Width = 39.5 yards
Step-by-step explanation:
Let L represent the length of the rectangular garden.
Let W represent the width of the rectangular garden.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
If the perimeter of the rectangular playing field is 426 yards. This means that
2(L + W) = 426
Dividing through by 2, it becomes
L + W = 213 - - - - - - - - - - - -1
The length of a new rectangular playing field is 55 yards longer than triple the width. This means that
L = 55 + 3W
Substituting L = 55 + 3W into equation 1, it becomes
55 + 3W + W = 213
4W + 55 = 213
4W = 213 - 55
4W = 158
W = 158/4
W = 39.5
L = 55 + 3W = 55 + 3 × 39.5
L = 55 + 118.5
L = 173.5
