Respuesta :
Answer:
Length = 80 feet, Width = 22 feet
Step-by-step explanation:
Let's call the length 'L' and the width 'W'. Then, we can formulate the following equations:
L = 3*W + 14
2L + 2W = 204 -> L + W = 102
Using the value of L from the first equation in the second equation, we have that:
3*W + 14 + W = 102
4*W = 88
W = 22 feet
From the first equation:
L = 3*W + 14 = 66 + 14 = 80 feet.
Answer:
Length l = 58ft
Width w = 22ft
Step-by-step explanation:
Given;
Perimeter P = 204 ft
Length = fourteen more than three times the width
Let w represent the width of the rectangle;
Length l = 3w + 14 .....1
Perimeter of a rectangle can be written as;
P = 2l +2w
Substituting the values of l and w;
P = 2(3w+14) + 2w = 8w + 28
And P = 204 ft
8w + 28 = 204
8w = 204-28
8w = 176
w = 176/8
w = 22ft
Since;
l = 2w +14
l = 2(22) + 14
l = 58ft
Length l = 58ft
Width w = 22ft
