A rectangular closet has a perimeter of 10 feet. If the width of the closet is 3 feet. What is the length of the closet
P = 2L + 2W
10 = 2L + (2 * 3)
10 = 2L + 6
4 = 2L
2 = L
To find the length of the closet, we need to use the formula for the perimeter of a rectangle, which is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
Given that the width of the closet is 3 feet and the perimeter is 10 feet, we can substitute these values into the formula:
10 = 2(l + 3)
Next, we need to solve for the length (l).
First, distribute the 2 on the left side of the equation:
10 = 2l + 6
Next, subtract 6 from both sides of the equation to isolate the 2l term:
10 - 6 = 2l
4 = 2l
Finally, divide both sides of the equation by 2 to solve for l:
4/2 = l
l = 2
Therefore, the length of the closet is 2 feet.