Perimeter of Frame given Outer Length, Outer Width and Vertex Diagonal Calculator

✖The Outer Length of Frame is the length or longest side of the outer rectangle of the Frame.ⓘ Outer Length of Frame [l_Outer]			+10% -10%
✖The Outer Width of Frame is the breadth or shortest side of the outer rectangle of the Frame.ⓘ Outer Width of Frame [w_Outer]			+10% -10%
✖The Vertex Diagonal of Frame is the linear distance between any pair adjacent vertices of inner and outer rectangles of Frame.ⓘ Vertex Diagonal of Frame [d_Vertex]			+10% -10%

✖The Perimeter of Frame is the total length of all the boundary lines of the Frame or sum of perimeters of inner and outer rectangles of the Frame.ⓘ Perimeter of Frame given Outer Length, Outer Width and Vertex Diagonal [P]

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Perimeter of Frame given Outer Length, Outer Width and Vertex Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Frame = 4*(Outer Length of Frame+Outer Width of Frame-(sqrt(2)*Vertex Diagonal of Frame))
P = 4*(l_Outer+w_Outer-(sqrt(2)*d_Vertex))
This formula uses 1 Functions, 4 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

Perimeter of Frame - (Measured in Meter) - The Perimeter of Frame is the total length of all the boundary lines of the Frame or sum of perimeters of inner and outer rectangles of the Frame.
Outer Length of Frame - (Measured in Meter) - The Outer Length of Frame is the length or longest side of the outer rectangle of the Frame.
Outer Width of Frame - (Measured in Meter) - The Outer Width of Frame is the breadth or shortest side of the outer rectangle of the Frame.
Vertex Diagonal of Frame - (Measured in Meter) - The Vertex Diagonal of Frame is the linear distance between any pair adjacent vertices of inner and outer rectangles of Frame.

STEP 1: Convert Input(s) to Base Unit

Outer Length of Frame: 15 Meter --> 15 Meter No Conversion Required
Outer Width of Frame: 12 Meter --> 12 Meter No Conversion Required
Vertex Diagonal of Frame: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 4*(l_Outer+w_Outer-(sqrt(2)*d_Vertex)) --> 4*(15+12-(sqrt(2)*4))

Evaluating ... ...

P = 85.3725830020305

STEP 3: Convert Result to Output's Unit

85.3725830020305 Meter --> No Conversion Required

FINAL ANSWER

85.3725830020305 ≈ 85.37258 Meter <-- Perimeter of Frame

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Perimeter of Frame Calculators

Perimeter of Frame

LaTeX Go Perimeter of Frame = 2*(Outer Length of Frame+Inner Length of Frame+Outer Width of Frame+Inner Width of Frame)

Perimeter of Frame given Inner Length, Inner Width and Vertex Diagonal

LaTeX Go Perimeter of Frame = 4*(Inner Length of Frame+Inner Width of Frame+(sqrt(2)*Vertex Diagonal of Frame))

Perimeter of Frame given Inner Length, Inner Width and Thickness

LaTeX Go Perimeter of Frame = 4*(Inner Length of Frame+Inner Width of Frame+(2*Thickness of Frame))

Perimeter of Frame given Outer Length, Outer Width and Thickness

LaTeX Go Perimeter of Frame = 4*(Outer Length of Frame+Outer Width of Frame-(2*Thickness of Frame))

Perimeter of Frame given Outer Length, Outer Width and Vertex Diagonal Formula

LaTeX Go

Perimeter of Frame = 4*(Outer Length of Frame+Outer Width of Frame-(sqrt(2)*Vertex Diagonal of Frame))
P = 4*(l_Outer+w_Outer-(sqrt(2)*d_Vertex))

What is a Frame?

A Frame is a rectangle, from which a smaller rectangle is removed centrally, whose length and width are an equal value shorter than that of the larger one. The actual rectangle is called outer rectangle and the removed smaller rectangle is called inner rectangle.

How to Calculate Perimeter of Frame given Outer Length, Outer Width and Vertex Diagonal?

Perimeter of Frame given Outer Length, Outer Width and Vertex Diagonal calculator uses Perimeter of Frame = 4*(Outer Length of Frame+Outer Width of Frame-(sqrt(2)*Vertex Diagonal of Frame)) to calculate the Perimeter of Frame, The Perimeter of Frame given Outer Length, Outer Width and Vertex Diagonal formula is defined as the total length of all the boundary lines of the Frame or the sum of perimeters of inner and outer rectangles of the Frame and calculated using the outer length, outer width, and vertex diagonal of the Frame. Perimeter of Frame is denoted by P symbol.

How to calculate Perimeter of Frame given Outer Length, Outer Width and Vertex Diagonal using this online calculator? To use this online calculator for Perimeter of Frame given Outer Length, Outer Width and Vertex Diagonal, enter Outer Length of Frame (l_Outer), Outer Width of Frame (w_Outer) & Vertex Diagonal of Frame (d_Vertex) and hit the calculate button. Here is how the Perimeter of Frame given Outer Length, Outer Width and Vertex Diagonal calculation can be explained with given input values -> 85.37258 = 4*(15+12-(sqrt(2)*4)).

FAQ

What is Perimeter of Frame given Outer Length, Outer Width and Vertex Diagonal?

The Perimeter of Frame given Outer Length, Outer Width and Vertex Diagonal formula is defined as the total length of all the boundary lines of the Frame or the sum of perimeters of inner and outer rectangles of the Frame and calculated using the outer length, outer width, and vertex diagonal of the Frame and is represented as P = 4*(l_Outer+w_Outer-(sqrt(2)*d_Vertex)) or Perimeter of Frame = 4*(Outer Length of Frame+Outer Width of Frame-(sqrt(2)*Vertex Diagonal of Frame)). The Outer Length of Frame is the length or longest side of the outer rectangle of the Frame, The Outer Width of Frame is the breadth or shortest side of the outer rectangle of the Frame & The Vertex Diagonal of Frame is the linear distance between any pair adjacent vertices of inner and outer rectangles of Frame.

How to calculate Perimeter of Frame given Outer Length, Outer Width and Vertex Diagonal?

The Perimeter of Frame given Outer Length, Outer Width and Vertex Diagonal formula is defined as the total length of all the boundary lines of the Frame or the sum of perimeters of inner and outer rectangles of the Frame and calculated using the outer length, outer width, and vertex diagonal of the Frame is calculated using Perimeter of Frame = 4*(Outer Length of Frame+Outer Width of Frame-(sqrt(2)*Vertex Diagonal of Frame)). To calculate Perimeter of Frame given Outer Length, Outer Width and Vertex Diagonal, you need Outer Length of Frame (l_Outer), Outer Width of Frame (w_Outer) & Vertex Diagonal of Frame (d_Vertex). With our tool, you need to enter the respective value for Outer Length of Frame, Outer Width of Frame & Vertex Diagonal of Frame 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 Perimeter of Frame?

In this formula, Perimeter of Frame uses Outer Length of Frame, Outer Width of Frame & Vertex Diagonal of Frame. We can use 3 other way(s) to calculate the same, which is/are as follows -

Perimeter of Frame = 2*(Outer Length of Frame+Inner Length of Frame+Outer Width of Frame+Inner Width of Frame)
Perimeter of Frame = 4*(Inner Length of Frame+Inner Width of Frame+(2*Thickness of Frame))
Perimeter of Frame = 4*(Outer Length of Frame+Outer Width of Frame-(2*Thickness of Frame))

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