Answered

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

Sagot :

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:

[tex]P = 2(l + w)[/tex]

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

This means that [tex]l = 5l, w = 5w[/tex]. So

[tex]P_M = 2(5l + 5w) = 2*5(l+w) = 10(l + w)[/tex]

What happens to its perimeter?

The rate is:

[tex]\frac{P_M}{P} = \frac{10(l+w)}{2(l+w)} = 5[/tex]

The perimeter is multiplied by 5.

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