The formula for finding the perimeter of a rectangle with length, l, and width, w, is P = 2l + 2w.
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If the length and width of a rectangle are both doubled, how is the perimeter affected?


A. The perimeter remains the same.
B. The perimeter is multiplied by 1/2
C. The perimeter is twice as great.
D. The perimeter is four times as great.

Respuesta :

Perimeter of a rectangle:
P=2I+2W=2(I+w)

But if the length and width of a rectangle are both double, then we would have:
Length=2I
width=2w

Therefore, its perimeter would be:
P=2(2I+2w)=4(I+w)

the old perimeter was P=2(I+w) and the new perimeter is P=4(I+w)=2[2(l+w)]
There the perimeter is twice as great.

Answer: C) the perimeter is twice as great. 

Answer:

the answer is c

Step-by-step explanation:

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