x² + 5x - 24 = 0
Explanation:width of the rectangular field = x
length of the rectangular field = 5 more feet than the width
length = 5 + width
length = 5 + x
Total area of the field = 24 square inches
Area of a rectangle = length × width
24 = (5+x)(x)
24 = x(5 + x)
24 = 5x + x²
x² + 5x - 24 = 0
Hence, the equation to represent the area of the rectangle is x² + 5x - 24 = 0
