Question

The length of a rectangle is 2 units shorter than one-fifth of the width, x.

Which expression represents the perimeter of the rectangle?
A. 2/5x−4

B. 12/5x−2

C. 12/5x−4

​ C. 2/5x−8 ​

Answer 1

Answer:

C. $P=\frac{12x}{5} + 4$

Step-by-step explanation:

Width = x

Length = one fifth of width minus 2

Length = $\frac{1}{5}x-2$

Perimeter is given by the formula

$P=2(l+b)$

$P=2(\frac{1}{5}x-2+x)$

$P=2(\frac{x}{5}-2+x)$

$P=2\times \frac{x-2 \times 5+5 \times x}{5}$

$P=2\times \frac{x-10+5x}{5}$

$P=2\times \frac{6x}{5} - 2\times \frac{-10}{5}$

$P=2\times \frac{6x}{5} + 2\times \frac{10}{5}$

$P=\frac{12x}{5} + 4$