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The expression that represents the perimeter of the rectangle is 4x² + 14x - 3 = 0
<h3>How to determine the expression</h3>
The formula for perimeter of a rectangle is given as;
Perimeter = 2 ( length + width)
Let the length of the rectangle be x
Width of the rectangle be y
From the information given, we have that;
y = 4 - 3/4x
Make into linear equation
y = 16x - 3 / 4x
Now, let's substitute the variables into the formula
Perimeter = 2 ()
Find the LCM of the bracket
Perimeter =
Perimeter =
2x = 4x² + 16x - 3
Collect like terms
4x² + 16x - 2x - 3 = 0
4x² + 14x - 3 = 0
Thus, the expression that represents the perimeter of the rectangle is 4x² + 14x - 3 = 0
Learn more about a rectangle here:
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