Rico works for a landscaping company. He will enclose a square garden, using a full 50 ft roll of wire fencing. What could the largest dimension of the garden be? Sketch and label the garden, then calculate perimeter to verify your answer.

Have you sketched and labeled the garden?

P = 4s

How long is each side?

To find the largest dimension of the garden, we need to consider that the perimeter of the square garden should be equal to the length of the wire fencing, which is 50 ft.

Let's assume that the length of each side of the square garden is "x". Since a square has all sides equal in length, the perimeter of the garden would be equal to 4 times the length of one side.

Therefore, the equation would be: 4x = 50 ft.

To find the largest dimension, we can solve this equation for "x".

Divide both sides by 4:
x = 50 ft / 4
x = 12.5 ft

So, the largest dimension of the square garden can be 12.5 ft.

To visually represent the garden, I would draw a square using a ruler or a drawing software. Label each side of the square with the dimension, which in this case, would be 12.5 ft.

Calculating the perimeter:
P = 4 * x
P = 4 * 12.5 ft
P = 50 ft

The perimeter of the garden is indeed 50 ft, which matches the length of the wire fencing, confirming our solution.