. 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 = 2 * ( W + L )
P = 24
W = 4
24 = 2 * ( 4 + L )
24 = 2 * 4 + 2 * L
24 = 8 + 2 L Subtract 8 to both sides
24 - 8 = 8 + 2 L - 8
16 = 2 L Diwide both sides by 2
16 / 2 = 2 L / 2
8 = L
L = 8
each rectangle has perimeter of 24 unites,which one has the greatest area ? a 10,2b8,4 c11,1 d 6,6
To find the length of the rectangle, we can use the formula for the perimeter of a rectangle, which is given by:
Perimeter = 2 * (length + width)
In this case, we are given the perimeter of the rectangle, which is 24 units, and the width, which is 4 units. We can plug these values into the formula and solve for the length.
24 = 2 * (length + 4)
To isolate the length, we can start by dividing both sides of the equation by 2:
24/2 = length + 4
12 = length + 4
Next, we can subtract 4 from both sides of the equation:
12 - 4 = length
8 = length
Therefore, the length of the rectangle is 8 units. So the correct answer is option B.