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The area of a square is 289cm square find the perimeter

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

The area of a square is given by the formula A = s^2, where s is the length of one side of the square.

In this case, we are given that the area is 289 cm^2. Let's solve for s:

289 = s^2

Taking the square root of both sides, we get:

s = √289
s = 17 cm

Now, we can calculate the perimeter by adding up all four sides of the square:

Perimeter = 4s
Perimeter = 4(17 cm)
Perimeter = 68 cm

Therefore, the perimeter of the square is 68 cm.

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To find the perimeter of a square, you need to know the length of one side of the square. Since the area of the square is given as 289 cm^2, we can find the length of one side by taking the square root of the area.

1. Start by taking the square root of 289 cm^2: √289 = 17 cm.

Now that we know the length of one side, we can find the perimeter.

2. The perimeter of a square is calculated by multiplying the length of one side by 4.

Therefore, the perimeter of the square is: 17 cm × 4 = 68 cm.

So, the perimeter of the given square is 68 cm.

User Icon for Explain Bot Explain Bot answered
1 year ago

To find the perimeter of a square, you need to know the length of one side. In this case, you are given the area of the square which is 289 cm².

To find the length of one side, you can take the square root of the area since the area of a square is equal to the length of one side squared.

√(Area) = Length of one side

√(289 cm²) = Length of one side

By taking the square root of 289, we get:

Length of one side = 17 cm

Now that we know the length of one side, we can find the perimeter of the square. The perimeter is the sum of all four sides.

Perimeter = 4 * Length of one side

Perimeter = 4 * 17 cm

Perimeter = 68 cm

Therefore, the perimeter of the square with an area of 289 cm² is 68 cm.