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Let's call x the unknown side of the square. Using Pythagoras's theorem: x2+x2 = 322 x2+x2 = 1024 2x2 = 1024 x2 = 512 x = 22.627417 feet So the square has 4 sides of 22.627417 feet Perimeter = 4*22.627417 = 90.50966799 feet

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A square patch of sheetrock has a perimeter of 10 feet. Which measure is closest to the length of the diagonal?

To find the length of the diagonal of a square patch of sheetrock with a perimeter of 10 feet, first calculate the length of one side. The perimeter ( P ) of a square is given by ( P = 4s ), where ( s ) is the side length. So, ( s = \frac{10}{4} = 2.5 ) feet. The diagonal ( d ) can be calculated using the formula ( d = s\sqrt{2} ), which gives ( d \approx 2.5 \times 1.414 \approx 3.54 ) feet. Thus, the length of the diagonal is closest to 3.54 feet.


How do you find diagonal of rectangle when perimeter and width are known?

Length = (1/2 of perimeter) minus (Width) Diagonal = square root of [ (Length)2 + (Width)2 ]


Find the perimiter of a square whos diagonal measures 11?

The perimeter is 31.11 units.


What is the perimeter of 12000 square feet?

To find the perimeter, we first need to determine the shape of the area. Assuming the area is a square, we can find the side length by taking the square root of the area: √12000 ≈ 109.54 feet. The perimeter of a square is given by 4 times the side length, so it would be approximately 4 × 109.54 ≈ 438.16 feet. If the shape is different, the perimeter will vary accordingly.


How do you find the perimeter of 90 acres square acres that is?

To find the perimeter of a square that covers an area of 90 acres, first convert acres to square feet, knowing that 1 acre is equal to 43,560 square feet. Thus, 90 acres equals 3,914,400 square feet. The side length of the square can be found by taking the square root of the area: ( \sqrt{3,914,400} \approx 1978.8 ) feet. Finally, the perimeter is calculated by multiplying the side length by 4, resulting in a perimeter of approximately 7,915.2 feet.

Related Questions

What is the perimeter of a square with diagonal 12 centimeters?

The perimeter of a square with a diagonal of 12 centimeters is: 33.9 centimeters.In future, to find out the perimeter of a square when you only know it's diagonal, use Pythagoras or times the diagonal by 2.828427125.This number is irrational, and is like a pi for the diagonals of squares.I call it Tau.It is the relationship between the diagonal of all squares and there perimeter.


The length of a diagonal of a square is 24square root 2 millimeters find perimeter of the square?

The perimeter of a square with a diagonal length of 24 square root 2 millimeters (33.94 mm) is: 96 mm


A square patch of sheetrock has a perimeter of 10 feet. Which measure is closest to the length of the diagonal?

To find the length of the diagonal of a square patch of sheetrock with a perimeter of 10 feet, first calculate the length of one side. The perimeter ( P ) of a square is given by ( P = 4s ), where ( s ) is the side length. So, ( s = \frac{10}{4} = 2.5 ) feet. The diagonal ( d ) can be calculated using the formula ( d = s\sqrt{2} ), which gives ( d \approx 2.5 \times 1.414 \approx 3.54 ) feet. Thus, the length of the diagonal is closest to 3.54 feet.


What is the formula to find one side of a square?

The answer will depend on what information about the square you have: its perimeter, area, length of diagonal.


How do you find diagonal of rectangle when perimeter and width are known?

Length = (1/2 of perimeter) minus (Width) Diagonal = square root of [ (Length)2 + (Width)2 ]


Find the perimiter of a square whos diagonal measures 11?

The perimeter is 31.11 units.


If you have the diagonal and with of a rectangle how do you find the Perimeter?

Square the diagonal and take away the square of width, this gives you the square of the other side. Add the square root of the two sides and multiply by two.


What is the perimeter of a square with an area of 9 square feet?

The perimeter of a square with an area of 9 square feet is: 12 feet.


What is the perimeter of a square whose one diagonal is 16cm?

To find the perimeter of a square with a diagonal of 16 cm, we first need to determine the side length of the square using the Pythagorean theorem. The diagonal of a square divides it into two right-angled triangles, with the diagonal being the hypotenuse. Using the formula a^2 + b^2 = c^2, where a and b are the two sides of the triangle and c is the hypotenuse, we can calculate that each side of the square is 8√2 cm. Since a square has four equal sides, the perimeter is 4 times the side length, giving us a perimeter of 32√2 cm.


Area of square with a perimeter of 12 feet?

To find the area of a square with a perimeter of 12 feet, we first need to determine the length of one side. Since a square has four equal sides, we divide the perimeter by 4 to get each side length, which is 3 feet. To find the area of the square, we square the length of one side, so the area would be 3 feet x 3 feet = 9 square feet.


What is the perimeter of 12000 square feet?

To find the perimeter, we first need to determine the shape of the area. Assuming the area is a square, we can find the side length by taking the square root of the area: √12000 ≈ 109.54 feet. The perimeter of a square is given by 4 times the side length, so it would be approximately 4 × 109.54 ≈ 438.16 feet. If the shape is different, the perimeter will vary accordingly.


How do you find the perimeter of 90 acres square acres that is?

To find the perimeter of a square that covers an area of 90 acres, first convert acres to square feet, knowing that 1 acre is equal to 43,560 square feet. Thus, 90 acres equals 3,914,400 square feet. The side length of the square can be found by taking the square root of the area: ( \sqrt{3,914,400} \approx 1978.8 ) feet. Finally, the perimeter is calculated by multiplying the side length by 4, resulting in a perimeter of approximately 7,915.2 feet.