Question

The length of a rectangle is one unit shorter than one-sixth of the width, x.Which expression represents the perimeter of the rectangle? 73x−813x−273x−213x−4

Answer 1

We are given a rectangle that has a width "x" and a length that is one unit shorter than one-sixth of its length. This rectangle can be visualized in the following diagram:

The perimeter of a rectangle is the sum of all of its sides, therefore, the perimeter is given by:

`P=x+x+(x)/(6)-1+(x)/(6)-1`

Adding like terms:

`P=2x+(2x)/(6)-2`

Adding the fractions we get:

`P=(14x)/(6)-2`

Simplifying the fraction we get:

`P=(7x)/(3)-2`

And thus we get the expression for the perimeter of the given rectangle.