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2 years ago

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

Mathematics

1 answer:

sergey [27]2 years ago

5 0

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

$P=2(l+b)$

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

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

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

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

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

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

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

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