The length of the rectangle is 6 ft
The rectangle is a four sided polygon or quadrilateral with two pairs of opposite sides that are congruent.
Area of a rectangle = length × width of the rectangle.
Let the width of the rectangle be represented as x. Therefore, we will have the following:
Width of rectangle = x
Length of the rectangle = (x + 2) ft
Area of the rectangle = 24 square feet
Thus, we would create the following equation:
x(x + 2) = 24
x² + 2x = 24
x² + 2x - 24 = 0
Factorize the equation
(x - 4)(x + 6) = 0
x = 4, x = -6
The width = x = 4 ft
Length of the rectangle = (x + 2) ft
Plug in the value of x
Length of the rectangle = (4 + 2) ft
Length of the rectangle = 6 ft
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