Answer:
Length = 7 ft and width = 4 ft
Explanation:
It is given that, the area of a rectangular carpet is 28 square feet. The length is three feet more then the width.
To find the length and width
Let x be the width the length = x + 3
Area of carpet = Length * Width
28 = (x + 3) * x
x² + 3x - 28 = 0
x² + 7x - 4x - 28 = 0
x(x + 7) -4(x + 7) = 0
(x + 7)(x - 4) = 0
x = -7 or x = 4
Therefore width = 4 ft then length = 4 + 3 = 7 ft