The area of the square will be 100 square meters. Then the dimensions of the pen of the rectangle will be 10 by 10 which is a square.
What is the area of the square?
Let a be the side length of the square.
Then the area of the square will be
Area of the square = a² square units
Cathy has 40 meters of fencing to build a rectangular pen for her pets.
For the maximum area of the rectangle, the length and width should be congruent.
40 = 4a
a = 10
Then the area of the square will be
A = 10²
A = 100 square meters
The dimensions of the pen of the rectangle will be 10 by 10 which is a square.