QueenNicki
Answered

I NEED HELP WITH THIS MATH QUESTION:

The length of each side of a square is 2.5 meters. If each side is doubled in length, what is the effect on the perimeter of the square?

AIt remains the same
BIt is one half the original perimeter
CIt is four times the original perimeter

Verified Answer :

naǫ

s - the length of a side
P - the perimeter (which equals four times the length of a side)

\(s_1=2.5 \ m \\ P_1=4s_1=4 \times 2.5 \ m=10 \ m \\ \\ \hbox{each side is doubled in length} \Rightarrow s_2=2 \times 2.5 \ m=5 \ m \\ P_2=4 s_2=4 \times 5 \ m= 20 \ m \\ \\ \frac{P_2}{P_1}=\frac{20 \ m}{10 \ m}=2\)

If each side is doubled in length, the perimeter is two times the original perimeter.

s - the length of a side

P - the perimeter (which equals four times the length of a side)

s_1=2.5 \ m \\ 
P_1=4s_1=4 \times 2.5 \ m=10 \ m \\ \\
\hbox{each side is doubled in length} \Rightarrow s_2=2 \times 2.5 \ m=5 \ m \\
P_2=4 s_2=4 \times 5 \ m= 20 \ m \\ \\
\frac{P_2}{P_1}=\frac{20 \ m}{10 \ m}=2

If each side is doubled in length, the perimeter is two times the original perimeter.

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