Final answer:
To find the length of the sides of the rectangle, set up an algebraic equation using the given information. Solve the equation to find the length of the sides. The length of one side is 16 m and the length of the other side is 90 m.
Step-by-step explanation:
To find the length of the sides of the rectangle, we can set up an algebraic equation using the given information. Let one side of the rectangle be x, and the other side be 5x + 10 (since it is 10 m longer than five times the other side).
The area of a rectangle is given by the formula A = length x width. Substituting in the given values, we have:
1440 = x(5x + 10)
Simplifying and solving the equation:
1440 = 5x^2 + 10x
5x^2 + 10x - 1440 = 0
Using factoring or the quadratic formula, we find that x = 16 or x = -18. Since a negative length is not possible, the length of one side of the rectangle is 16 m and the length of the other side is 90 m.