The area of a square is numerically equal to five times its perimeter. Find the length of a side of the square
+561 Let's call the length of the side of the square "x".
We know that the area of a square is height times base. Because each side of the square has the same length, we can say the area is equal to \(x^2 \)
The perimeter is the sum of each side of the square, so it can written as \(4x\)
Because the area is equal to 5 times the perimeter, we can write the following equation and sove for x.
\(x^2=5\times4x\)
\(x^2=20x\)
\(x^2-20x=0\)
\(x(x-20)=0\)
\(x=20\)
Therefore, the length of one side is 20.
+561 Let's call the length of the side of the square "x".
We know that the area of a square is height times base. Because each side of the square has the same length, we can say the area is equal to \(x^2 \)
The perimeter is the sum of each side of the square, so it can written as \(4x\)
Because the area is equal to 5 times the perimeter, we can write the following equation and sove for x.
\(x^2=5\times4x\)
\(x^2=20x\)
\(x^2-20x=0\)
\(x(x-20)=0\)
\(x=20\)
Therefore, the length of one side is 20.
+118677 Will 85237 answered your question.
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And you are right. Will gave a very good answer to this question. Thanks Will 
I am sure Will was very pleased to receive your recognition. Thanks :)
