A rectangle has a perimeter of 24 units. If the width is 4 units, which of the following is the length?
A. 6 units
B. 8 units
C. 10 units
D. 16 units
P = 2L + 2W
24 = 2L + 2(4)
24 = 2L + 8
24 - 8 = 2L
16 = 2L
8 = L
16
10
To find the length of the rectangle, we can use the formula for the perimeter of a rectangle:
Perimeter = 2 * (Length + Width)
Given that the width is 4 units and the perimeter is 24 units, we can substitute these values into the formula:
24 = 2 * (Length + 4)
Now we can solve for the length. First, divide both sides of the equation by 2:
12 = Length + 4
Next, isolate the Length by subtracting 4 from both sides:
Length = 12 - 4
Length = 8 units
Therefore, the length of the rectangle is 8 units, and the answer is option B.