Respuesta :
Answer:
Square with side length 25/4 m
Step-by-step explanation:
The area is always going to be largest for a rectangle when the two dimensions are equal. You are looking for a square. What square has perimeter 25? 4s=25 so the side length of this rectangle (Square) is 25/4 m.
Answer:
It's a square 6.25 * 6.25 m.
Step-by-step explanation:
We can do this using calculus.
Let the length of the rectangle be x m.
2x + 2w = 25 where w = the width.
2w = 25 - 2x
w = 12.5 - x
So the area A = x(12.5 - x) = 12.5x - x^2.
Finding the derivative:
dA /dx = 12.5 - 2x
For a maximum area this = zero
12.5 - 2x = 0
x = 6.25m.
and w = 25 - 12.5 = 6.25m.
(For any rectangle the maximum area is always a square).
