The length of a rectangle is one unit shorter than obe-sixth of the width, x. Which expression represents the perimeter of the rectangle
None of the above.
The length of a rectangle is one unit shorter than one-sixth of the width, x.
Which expression represents the perimeter of the rectangle?
To find the expression representing the perimeter of the rectangle, we need to understand that the perimeter of a rectangle is the sum of all its sides.
Let's start by determining the length of the rectangle. It is given that the length is one unit shorter than one-sixth of the width, x. Mathematically, we can represent this as:
Length = (1/6)x - 1
Next, let's consider the width of the rectangle. The width is simply represented as x.
Now, we can calculate the perimeter by adding up all the sides:
Perimeter = 2(Length + Width)
Substituting the values we have:
Perimeter = 2((1/6)x - 1 + x)
Simplifying further:
Perimeter = 2(7/6)x - 2
Thus, the expression representing the perimeter of the rectangle is 2(7/6)x - 2.
The length of a rectangle is one unit shorter than one-sixth of the width, x mean:
L = W / 6 - 1
P = 2 L + 2 W = 2 ( L + W )
P = 2 [ W / 6 - 1 + W ] =
2 [ W / 6 - 1 + 6 W / 6 ] =
2 ( 7 W / 6 - 1 ) =
2 ∙ 7 W / 6 - 2 ∙ 1 =
2 ∙ 7 W / 2 ∙ 3 - 2 =
7 W / 3 - 2 =
7 W / 3 - 2 ∙ 3 / 3 =
7 W / 3 - 6 / 3 =
( 7 W - 6 ) / 3
P = 7 W / 3 - 2 = ( 7 W - 6 ) / 3