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The area of a square is numerically equal to five times its perimeter. Find the length of a side of the square

 Nov 21, 2015

Best Answer 

 #1
avatar+561 
+10

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 x2

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.

x2=5×4x

x2=20x

x220x=0

x(x20)=0

x=20

Therefore, the length of one side is 20.

 Nov 21, 2015
 #1
avatar+561 
+10
Best Answer

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 x2

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.

x2=5×4x

x2=20x

x220x=0

x(x20)=0

x=20

Therefore, the length of one side is 20.

Will85237 Nov 21, 2015
 #2
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+5

Nicely done and explained Guest #1 !

 Nov 21, 2015
 #3
avatar+118703 
+5

Will 85237 answered your question.

He in not a guest !   He is a member !!

 

And you are right.  Will gave a very good answer to this question.  Thanks Will     laugh

I am sure Will was very pleased to receive your recognition.  Thanks :)

 Nov 21, 2015
 #4
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+5

Wasn't my question...I just looked to see if it was correct.....I just saw the answer and thought it was done well. (by a teacher?)   Nice job Will85237 !  I just saw the #1 in the corner and made the comment...

~jc

 Nov 21, 2015
 #5
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+5

This is so cool! Thanks Will85237 for answering the question it really helped me!

 Nov 22, 2015

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