Respuesta :
The length of the rectangle is 7 unit.
What is rectangle?
A rectangle is a plane shape that has pair of opposite sides equal.
To calculate the length of the rectangle, we use the formula below
Formula:
- A = LW............ Equation 1
Where:
- A = Area of the rectangle
- L = Length of the rectangle
- W = Width of the rectangle
From the question,
Assuming the width of the rectangle is y unit
- A = 56 unit
- L = (y+1) unit
- W = y unit
Substitute these values into equation 1
- 56 = y(y+1)
- 56 = y²+y
Solving the quadratic equation,
- y = +7 or y = -8
Since length can not be negative,
- y = 7 unit.
Hence The length of the rectangle is 7 unit.
Learn more about rectangle here: https://brainly.com/question/17297081