Question

The side lengths of a rectangle are all multiplied by 5. What happens to its perimeter?

Answer 1

Answer:

The perimeter is multiplied by 5.

Step-by-step explanation:

Perimeter of a rectangle:

The perimeter of a rectangle with sides l and w is given by:

$P = 2(l + w)$

The side lengths of a rectangle are all multiplied by 5.

This means that $l = 5l, w = 5w$. So

$P_M = 2(5l + 5w) = 2*5(l+w) = 10(l + w)$

What happens to its perimeter?

The rate is:

$\frac{P_M}{P} = \frac{10(l+w)}{2(l+w)} = 5$

The perimeter is multiplied by 5.