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iris [78.8K]
2 years ago
7

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

Mathematics
1 answer:
stiv31 [10]2 years ago
8 0

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.

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Given:

The multiples of 2 form a sequence as follows: 2, 4, 6, 8, 10, 12, 14, 16, ...

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