Write an equation in slope-intercept form for the line with slope 3/4 and y-intercept −4.
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Let the length be 
in this equation.
We know that the perimeter of a rectangle is
Width is defined in terms of length, so we know
We can substitute this value of w into the formula for perimeter to find the length.
So the length is 37. Now that we've found the length, we can go back to the Perimeter formula again and find width.
Width is 54. Now with both of these values found, we can calculate area with the formula
So the area of the rectangle is 1998 yards^2.
We know that the perimeter of a rectangle is
Width is defined in terms of length, so we know
We can substitute this value of w into the formula for perimeter to find the length.
So the length is 37. Now that we've found the length, we can go back to the Perimeter formula again and find width.
Width is 54. Now with both of these values found, we can calculate area with the formula
So the area of the rectangle is 1998 yards^2.