Tessa designs a supply closet as an addition to her house. The closet is pictured, and its total area is 36 square feet. What is the length in feet of the side of the supply closet labeled with the question mark?
To find the length of the side labeled with the question mark, we need to determine the dimensions of the supply closet. Since we know that the total area is 36 square feet, we can use this information to figure out the length.
Let's assume the length of the supply closet is x feet and the width is y feet. Since the total area is 36 square feet, we can set up the equation:
x * y = 36
We don't know the value of y, but we can express it in terms of x:
y = 36 / x
Now, we can substitute this expression for y into the equation for the total area:
x * (36 / x) = 36
36 = 36
This equation simplifies to:
36 = 36
1 = 1
Since this equation is true, we can see that x = 6 and y = 6. Therefore, the length of the side of the supply closet labeled with the question mark is 6 feet.