The length of a rectangle is 3 units shorter than one-third of the width, x.
Which expression represents the perimeter of the rectangle?
Responses
23x−8
, fraction 2 over 3 end fraction minus 8,
83x−2
fraction 8 over 3 end fraction minus 2
83x−6
fraction 8 over 3 end fraction x minus 6
23x−4
The correct expression that represents the perimeter of the rectangle is 83x - 6. This can be determined by using the formula for the perimeter of a rectangle, which is P = 2(length + width).
In this case, the length is given as 3 units shorter than one-third of the width, x. One-third of the width is (1/3)x, and 3 units shorter than that would be (1/3)x - 3.
So, the length of the rectangle is (1/3)x - 3, and the width is x.
Plugging these values into the formula for the perimeter, we get P = 2((1/3)x - 3 + x) = 2((4/3)x - 3) = 2(4x/3 - 9) = 8x/3 - 6.
Therefore, the correct expression for the perimeter of the rectangle is 83x - 6.