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How much greater is the area of a square with a side length of 17 meters than the perimeter of a square with an area of 484 square meters?

a) 119 square meters greater
b) 170 meters greater
c) 17 meters greater
d) 68 meters greater

1 Answer

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Final answer:

The area of a square with a side length of 17 meters is 201 square meters greater than the perimeter of a square with an area of 484 square meters.

Step-by-step explanation:

To find the area of a square with a side length of 17 meters, we use the formula A = s^2, where A is the area and s is the side length. So, the area of this square would be 17^2 = 289 square meters.

The perimeter of a square with an area of 484 square meters can be found by first finding the side length of the square. We use the formula A = s^2 and solve for s: 484 = s^2. Taking the square root of both sides, we get s = 22 meters. Then, the perimeter of this square would be 4s = 4 * 22 = 88 meters.

To find the difference between the area of the first square and the perimeter of the second square, we subtract the perimeter from the area: 289 - 88 = 201 square meters. Therefore, the area of a square with a side length of 17 meters is 201 square meters greater than the perimeter of a square with an area of 484 square meters.

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