Ten times the perimeter of a square is 360 yards. Find the l

[Gabriela]

Ten times the perimeter of a square is 360 yards. Find the length of each side of the square.
x = Length

36 = 2(x) + 2(x)
36 = 2x + 2x
36/4 + 4x/4
9 = x

I hope it is now correct!

I just wasn't sure if I had to divide 360÷10 =36 before solving the problem or divide 90÷10 =9 afterwards, which at the end gives me the same result.
Thank you!

 

[Loren]

The first thing you need to do is reread the problem and set up your equation accordingly. Start by naming things. You have arrived at the conclusion that x=90. What does x represent? If x represents the length of a side of the square then the perimeter of the square must be 4 times 90 which is 360 yards. But, the problem says that 10 times the perimeter is 360 and 10*360 is not 360. Recall that the perimeter of a square is 4 times the length of a side. Just translate the given sentence almost word for word to get your equation. Try again, and come back if you need to.

 

[Deleted member 4993]

Ten times the perimeter (not the perimeter) of a square is 360 yards. Find the length of each side of the square.

So following Loren's advice

let

P = Perimeter of the square

x = sides of the square

then

\(\displaystyle 10\cdot P \, = 360\)

\(\displaystyle P \, = \, 36\)

now continue.....

360 = 2(x) + 2(x)
360 = 2x + 2x
360/4 + 4x/4
90 = x

Am I suppose to divide 360÷10 before solving the problem or perhaps divide 90÷10 at the end in order to obtain the correct length?