The dimension of the rectangle is 25 by 40
Let :
- width = x
- length = x + 15
Area of rectangle = x * (x + 15)
1000 = x² + 15x
x² + 15x - 1000 = 0
solving the quadratic equation
x(x - 25) +40(x - 25)
x = 25 or x = -40
The width cannot be negative.
Hence,
- width = 25
- Length = 25 + 15 = 40
Therefore, the dimension of the rectangle is 25 by 40