Final answer:
To find the length and width of the rectangle, set up a system of equations based on the given information and solve them simultaneously using the perimeter and Pythagorean theorem equations.
Step-by-step explanation:
To find the length and width of the rectangle, we can set up a system of equations based on the given information.
Let the length be L and the width be W.
Based on the perimeter, we have the equation 2L + 2W = 70.
Using the Pythagorean theorem, we have the equation L^2 + W^2 = 25^2.
Solving these two equations simultaneously can help us find the values of L and W.