Diagonal of Rectangle given Area and Breadth Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diagonal of Rectangle = sqrt((Area of Rectangle/Breadth of Rectangle)^2+Breadth of Rectangle^2)
d = sqrt((A/b)^2+b^2)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Diagonal of Rectangle - (Measured in Meter) - Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle.
Area of Rectangle - (Measured in Square Meter) - Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.
Breadth of Rectangle - (Measured in Meter) - Breadth of Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides.
STEP 1: Convert Input(s) to Base Unit
Area of Rectangle: 48 Square Meter --> 48 Square Meter No Conversion Required
Breadth of Rectangle: 6 Meter --> 6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = sqrt((A/b)^2+b^2) --> sqrt((48/6)^2+6^2)
Evaluating ... ...
d = 10
STEP 3: Convert Result to Output's Unit
10 Meter --> No Conversion Required
FINAL ANSWER
10 Meter <-- Diagonal of Rectangle
(Calculation completed in 00.004 seconds)

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Diagonal of Rectangle Calculators

Diagonal of Rectangle given Perimeter and Breadth
​ Go Diagonal of Rectangle = sqrt((2*Breadth of Rectangle^2)-(Perimeter of Rectangle*Breadth of Rectangle)+(Perimeter of Rectangle^2/4))
Diagonal of Rectangle given Area and Breadth
​ Go Diagonal of Rectangle = sqrt((Area of Rectangle/Breadth of Rectangle)^2+Breadth of Rectangle^2)
Diagonal of Rectangle given Area and Length
​ Go Diagonal of Rectangle = sqrt((Area of Rectangle/Length of Rectangle)^2+Length of Rectangle^2)
Diagonal of Rectangle
​ Go Diagonal of Rectangle = sqrt(Length of Rectangle^2+Breadth of Rectangle^2)

Diagonal of Rectangle Calculators

Diagonal of Rectangle given Area and Breadth
​ Go Diagonal of Rectangle = sqrt((Area of Rectangle/Breadth of Rectangle)^2+Breadth of Rectangle^2)
Diagonal of Rectangle given Area and Length
​ Go Diagonal of Rectangle = sqrt((Area of Rectangle/Length of Rectangle)^2+Length of Rectangle^2)
Diagonal of Rectangle
​ Go Diagonal of Rectangle = sqrt(Length of Rectangle^2+Breadth of Rectangle^2)

Diagonal of Rectangle given Area and Breadth Formula

Diagonal of Rectangle = sqrt((Area of Rectangle/Breadth of Rectangle)^2+Breadth of Rectangle^2)
d = sqrt((A/b)^2+b^2)

What is a Rectangle?

A Rectangle is a two dimensional geometric shape having four sides and four corners. The four sides are in two pairs, in which each pair of lines are equal in length and parallel to each other. And adjacent sides are perpendicular to each other. In general a 2D shape with four boundary edges are called quadrilaterals. So a rectangle is a quadrilateral in which each corner is right angle.

How to Calculate Diagonal of Rectangle given Area and Breadth?

Diagonal of Rectangle given Area and Breadth calculator uses Diagonal of Rectangle = sqrt((Area of Rectangle/Breadth of Rectangle)^2+Breadth of Rectangle^2) to calculate the Diagonal of Rectangle, Diagonal of Rectangle given Area and Breadth formula is defined as the length of the line joining any pair of opposite vertices of the Rectangle, and calculated using area and breadth of the Rectangle. Diagonal of Rectangle is denoted by d symbol.

How to calculate Diagonal of Rectangle given Area and Breadth using this online calculator? To use this online calculator for Diagonal of Rectangle given Area and Breadth, enter Area of Rectangle (A) & Breadth of Rectangle (b) and hit the calculate button. Here is how the Diagonal of Rectangle given Area and Breadth calculation can be explained with given input values -> 10 = sqrt((48/6)^2+6^2).

FAQ

What is Diagonal of Rectangle given Area and Breadth?
Diagonal of Rectangle given Area and Breadth formula is defined as the length of the line joining any pair of opposite vertices of the Rectangle, and calculated using area and breadth of the Rectangle and is represented as d = sqrt((A/b)^2+b^2) or Diagonal of Rectangle = sqrt((Area of Rectangle/Breadth of Rectangle)^2+Breadth of Rectangle^2). Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle & Breadth of Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides.
How to calculate Diagonal of Rectangle given Area and Breadth?
Diagonal of Rectangle given Area and Breadth formula is defined as the length of the line joining any pair of opposite vertices of the Rectangle, and calculated using area and breadth of the Rectangle is calculated using Diagonal of Rectangle = sqrt((Area of Rectangle/Breadth of Rectangle)^2+Breadth of Rectangle^2). To calculate Diagonal of Rectangle given Area and Breadth, you need Area of Rectangle (A) & Breadth of Rectangle (b). With our tool, you need to enter the respective value for Area of Rectangle & Breadth of Rectangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Diagonal of Rectangle?
In this formula, Diagonal of Rectangle uses Area of Rectangle & Breadth of Rectangle. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Diagonal of Rectangle = sqrt((2*Breadth of Rectangle^2)-(Perimeter of Rectangle*Breadth of Rectangle)+(Perimeter of Rectangle^2/4))
  • Diagonal of Rectangle = sqrt((Area of Rectangle/Length of Rectangle)^2+Length of Rectangle^2)
  • Diagonal of Rectangle = sqrt(Length of Rectangle^2+Breadth of Rectangle^2)
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