Emma has 36 feet of fence. She wants to make the largest rectangular area possible for her rabbit to play in. What length should she make each side of the rabbit pen? Show your work and explain how you found the largest area.
A square would produce the largest area.
36/4 = 9 feet
mrs.stewart is my tacher
I don't get it
To find the largest rectangular area for Emma's rabbit pen, we need to start by identifying the constraints and formulating an equation.
Let's assume that the length of one side of the rectangle is x feet. Since the rabbit pen has four sides, the total length of the fence used will be 2x feet for the length and 2x feet for the width, making a total of 4x feet.
It is given that Emma has 36 feet of fence. Therefore, we can set up the equation:
2x + 2x = 36
Simplifying the equation:
4x = 36
x = 36/4
x = 9
Now, we have the length of one side of the rectangle as 9 feet. To find the other side, we can use the equation for the area of a rectangle:
Area = length x width
Area = 9 feet x 9 feet
Area = 81 square feet
Thus, Emma should make each side of the rabbit pen 9 feet long in order to achieve the largest rectangular area of 81 square feet.