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How do you find the length of a rectangle if diagonal is given?

How do you find the length of a rectangle if diagonal is given?

Correct answer: Explanation: A diagonal of a rectangle cuts the rectangle into 2 right triangles with sides equal to the sides of the rectangle and with a hypotenuse that is the diagonal. All you need to do is use the pythagorean theorem: where a and b are the sides of the rectangle and c is the length of the diagonal.

How do you find the height and base of a rectangle?

1 Expert Answer The formula for volume is base times width times height. Or area times height. To find the height, divide the volume by the product of base and width. To find the base, divide the area by the width.

How do you find the dimensions of a rectangle given the area and perimeter?

Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.

  1. Explanation: Let ‘A’ be area and ‘P’ be perimeter of the rectangle. Let ‘x’ be the width and ‘y’ be the length.
  2. Perimeter = 2 (length + breadth) Hence, P = 2(x+y)
  3. Area of a rectangle = Length × Breadth. Hence,

How do you find height of a rectangle?

Divide the volume by the product of the length and width to calculate the height of a rectangular object. For this example, the rectangular object has a length of 20, a width of 10 and a volume of 6,000. The product of 20 and 10 is 200, and 6,000 divided by 200 results in 30. The height of the object is 30.

How do you find the dimensions of the perimeter?

To find the perimeter of a rectangle, add the lengths of the rectangle’s four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.

How to calculate the perimeter of a rectangle?

The formula for the perimeter of a rectangle is (width + height) x 2, as seen in the figure below: This is the equivalent of adding all four sides, since opposite sides are of equal length by definition. Make sure the calculation is done using the same unit – the result will also be in that unit, e.g. mm, cm, meters, km, or in, ft, yd, miles.

How to calculate the diagonal of a rectangle?

Length of Diagonal of Rectangle Formula: The diagonal of a rectangle is determined by the following formula. d = √a2 + b2 d = a 2 + b 2. where a a and b b are the length and width of the rectangle, respectively.

How is the area of a rectangle related to its width?

The area of a rectangle (​ A ​) is related to the length (​ L ​) and width (​ W ​) of its sides by the following relationship: If you know the width, it’s easy to find the length by rearranging this equation to get. Example: The area of a rectangle is 20 square meters, and its width is 3 meters.

When to use a square or rectangle calculator?

Use this calculator if you know 2 values for the rectangle, including 1 side length, along with area, perimeter or diagonals and you can calculate the other 3 rectangle variables. A square calculator is a special case of the rectangle where the lengths of a and b are equal.