For this case we have that by definition, the area of a rectangle is given by:
Where:
a: It is the length of the rectangle
b: It is the width of the rectangle
We have as data:
So:
We look for two numbers that when multiplied get -24 and when added get -5.
These numbers are -8 and 3:
Thus, the solutions are:
We choose the positive value, so the length of the rectangle is A = 8
Answer:
8 centimeters