The formula for finding the perimeter of a rectangle with length, l, and width, w, is P = 2l + 2w.

If the length and width of a rectangle are both doubled, how is the perimeter affected?

AThe perimeter remains the same.
BThe perimeter is multiplied by 1/2
CThe perimeter is twice as great.
DThe perimeter is four times as great.

Question

13-01-2017
Mathematics

Answered

The formula for finding the perimeter of a rectangle with length, l, and width, w, is P = 2l + 2w.

If the length and width of a rectangle are both doubled, how is the perimeter affected?

AThe perimeter remains the same.
BThe perimeter is multiplied by 1/2
CThe perimeter is twice as great.
DThe perimeter is four times as great.

Verified Answer :

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ghanem ghanem · Answer 1 · 2017-01-13T14:27:40-05:00

ghanem ghanem

13-01-2017

p1=2(l+w)---->(equation 1)
after the length and the width are doubled
p2=2(2l+2w)
we will take 2 common factor out of the bracket
p2=2(2(l+w))
then from equation1
p2=2p1
then the answer is the choice number c

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measd measd · Answer 2 · 2017-01-13T14:28:15-05:00

measd measd

13-01-2017

The perimeter will grow by a factor of 2, so C is the correct answer.

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