The area of a square is numerically equal to five times its perimeter. Find the length of a side of the square
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
x2−20x=0
x(x−20)=0
x=20
Therefore, the length of one side is 20.
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
x2−20x=0
x(x−20)=0
x=20
Therefore, the length of one side is 20.
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