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06 Apr 2018, 02:42
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dave13
You did not read carefully thus your question does not make sense.
From the solution you quote: \(P=4*10\sqrt{2}\)
Your question: "shouldnt we have as an answer \(4\) * \(10\sqrt{2}\) = \(40\sqrt{2}\)"
The SAME perimeter.
03 Jun 2023, 06:33
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To find the perimeter of the square mirror, we need to determine the length of each side of the square.
Given that the diagonal of the square mirror is 20 inches, we can use the Pythagorean theorem to find the length of each side.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the hypotenuse is the diagonal of the square mirror, and the other two sides are the sides of the square.
Let's denote the length of each side of the square as s.
Applying the Pythagorean theorem, we have:
s^2 + s^2 = 20^2
2s^2 = 400
s^2 = 200
s ≈ √200 ≈ 14.14
Therefore, the approximate length of each side of the square mirror is approximately 14.14 inches.
To find the perimeter of the square, we multiply the length of each side by 4:
Perimeter = 4 * 14.14 ≈ 56.56 inches
Rounding to the nearest whole number, the approximate perimeter of the mirror is 60 inches, which corresponds to option (B).
Given that the diagonal of the square mirror is 20 inches, we can use the Pythagorean theorem to find the length of each side.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the hypotenuse is the diagonal of the square mirror, and the other two sides are the sides of the square.
Let's denote the length of each side of the square as s.
Applying the Pythagorean theorem, we have:
s^2 + s^2 = 20^2
2s^2 = 400
s^2 = 200
s ≈ √200 ≈ 14.14
Therefore, the approximate length of each side of the square mirror is approximately 14.14 inches.
To find the perimeter of the square, we multiply the length of each side by 4:
Perimeter = 4 * 14.14 ≈ 56.56 inches
Rounding to the nearest whole number, the approximate perimeter of the mirror is 60 inches, which corresponds to option (B).
06 Aug 2025, 23:19
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