From the question, we can deduce the following:
Length of rectangle = 4 meters less than 3 times the width.
Perimeter of rectangle = 128 meters
Let'd find the length and width of the rectangle.
Let L represent the length and let W represent the width.
Thus, we have:
L = 3W - 4.......................equation 1
Apply the formula for perimeter of a rectangle:
P = 2W + 2L........................equation 2
Substitute 128 for P, and (3W - 4) for L in equation 2:
128 = 2W + 2(3W - 4)
Let's solve for W in the equation above.
Apply distributive property:
128 = 2W + 2(3W) + 2(-4)
128 = 2W + 6W - 8
128 = 8W - 8
Add 8 to both sides of the equation:
128 + 8 = 8W - 8 + 8
136 = 8W
Divide both sides by 8:
Therefore, the width of the rectangle is 17 meters.
To find the length of the rectangle, substitute 17 for W in equation 1:
L = 3W - 4
L = 3(17) - 4
L = 51 - 4
L = 47
Therefore, the length of the rectangle is 47 meters.
ANSWER:
• Width = 17 meters
,
• Length = 47 meters