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)…

Question

asked Jul 16, 2019 83.5k views

1 Answer

Gokul Kathirvel · Answer 1 · 2019-07-22T02:09:14+0000

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
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)