Question

the length of a rectangle is 4 units shorter than on-fourth of the width, x. Write an expression that represents the perimeter of the rectangle (Use one variable and a fraction) (MUST SHOW WORK PLEASE)

Answer 1

ASNSWER

`Perimeter=(5x-16)/(2)`

Step-by-step explanation

Let
`w=x` represent the width of the rectangle.

One-fourth of the width will be,

`(1)/(4)x`

Let
`l` represent the length of the rectangle.

Then, subtracting 4 units from one-fourth the width gives us the length

`\Rightarrow l=(1)/(4)x-4`

Perimeter
`=2x+2l`

`\Rightarrow Perimeter=2x+2((1)/(4)x-4)`

We expand to obtain;

`Perimeter=2x+(x)/(2)-8`

`Perimeter=(x+4x-16)/(2)`

`Perimeter=(5x-16)/(2)`