The sign's area is 80 square inches.
A rectangle is a quadrilateral. This means that a rectangle has four sides.
The area of a rectangle = length x width
Perimeter of a rectangle = 2 x ( length + width)
Let the width of the sign be represented with w
The length of the sign is 5x
Substitute these dimensions into the formula for the perimeter of a rectangle.
(x + 5x) = 24
6x = 24
x = 24/6
x = 4 inches
The length is 5 x 4 = 20 inches
Area of the sign = 20 x 4 = 80 inches²
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