Area of Frame given Outer Length, Inner Width and Thickness 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 Inner Width of Frame is the breadth or shortest side of the inner rectangle of the Frame.ⓘ Inner Width of Frame [w_Inner]			+10% -10%
✖The Thickness of Frame is the perpendicular distance between adjacent and parallel edges of inner and outer rectangles of Frame.ⓘ Thickness of Frame [t]			+10% -10%

✖The Area of Frame is the total quantity of plane enclosed by the boundary of Frame.ⓘ Area of Frame given Outer Length, Inner Width and Thickness [A]

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Formula

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Area of Frame given Outer Length, Inner Width and Thickness

Formula

`"A" = ("l"_{"Outer"}*("w"_{"Inner"}+(2*"t")))-(("l"_{"Outer"}-(2*"t"))*"w"_{"Inner"})`

Example

`"126m²"=("15m"*("6m"+(2*"3m")))-(("15m"-(2*"3m"))*"6m")`

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Area of Frame given Outer Length, Inner Width and Thickness Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Frame = (Outer Length of Frame*(Inner Width of Frame+(2*Thickness of Frame)))-((Outer Length of Frame-(2*Thickness of Frame))*Inner Width of Frame)
A = (l_Outer*(w_Inner+(2*t)))-((l_Outer-(2*t))*w_Inner)
This formula uses 4 Variables

Variables Used

Area of Frame - (Measured in Square Meter) - The Area of Frame is the total quantity of plane enclosed by the boundary of 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.
Inner Width of Frame - (Measured in Meter) - The Inner Width of Frame is the breadth or shortest side of the inner rectangle of the Frame.
Thickness of Frame - (Measured in Meter) - The Thickness of Frame is the perpendicular distance between adjacent and parallel edges 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
Inner Width of Frame: 6 Meter --> 6 Meter No Conversion Required
Thickness of Frame: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (l_Outer*(w_Inner+(2*t)))-((l_Outer-(2*t))*w_Inner) --> (15*(6+(2*3)))-((15-(2*3))*6)

Evaluating ... ...

A = 126

STEP 3: Convert Result to Output's Unit

126 Square Meter --> No Conversion Required

FINAL ANSWER

126 Square Meter <-- Area 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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< 9 Area of Frame Calculators

Area of Frame given Inner Length, Outer Width and Vertex Diagonal

Go Area of Frame = ((Inner Length of Frame+(sqrt(2)*Vertex Diagonal of Frame))*Outer Width of Frame)-(Inner Length of Frame*(Outer Width of Frame-(sqrt(2)*Vertex Diagonal of Frame)))

Area of Frame given Outer Length, Outer Width and Vertex Diagonal

Go Area of Frame = (Outer Length of Frame*Outer Width of Frame)-((Outer Length of Frame-(sqrt(2)*Vertex Diagonal of Frame))*(Outer Width of Frame-(sqrt(2)*Vertex Diagonal of Frame)))

Area of Frame given Outer Length, Inner Width and Vertex Diagonal

Go Area of Frame = (Outer Length of Frame*(Inner Width of Frame+(sqrt(2)*Vertex Diagonal of Frame)))-((Outer Length of Frame-(sqrt(2)*Vertex Diagonal of Frame))*Inner Width of Frame)

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

Go Area of Frame = ((Inner Length of Frame+(sqrt(2)*Vertex Diagonal of Frame))*(Inner Width of Frame+(sqrt(2)*Vertex Diagonal of Frame)))-(Inner Length of Frame*Inner Width of Frame)

Area of Frame given Outer Length, Inner Width and Thickness

Go Area of Frame = (Outer Length of Frame*(Inner Width of Frame+(2*Thickness of Frame)))-((Outer Length of Frame-(2*Thickness of Frame))*Inner Width of Frame)

Area of Frame given Inner Length, Outer Width and Thickness

Go Area of Frame = ((Inner Length of Frame+(2*Thickness of Frame))*Outer Width of Frame)-(Inner Length of Frame*(Outer Width of Frame-(2*Thickness of Frame)))

Area of Frame given Inner Length, Inner Width and Thickness

Go Area of Frame = ((Inner Length of Frame+(2*Thickness of Frame))*(Inner Width of Frame+(2*Thickness of Frame)))-(Inner Length of Frame*Inner Width of Frame)

Area of Frame given Outer Length, Outer Width and Thickness

Go Area of Frame = (Outer Length of Frame*Outer Width of Frame)-((Outer Length of Frame-(2*Thickness of Frame))*(Outer Width of Frame-(2*Thickness of Frame)))

Area of Frame

Go Area of Frame = (Outer Length of Frame*Outer Width of Frame)-(Inner Length of Frame*Inner Width of Frame)

Area of Frame given Outer Length, Inner Width and Thickness Formula

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 Area of Frame given Outer Length, Inner Width and Thickness?

Area of Frame given Outer Length, Inner Width and Thickness calculator uses Area of Frame = (Outer Length of Frame*(Inner Width of Frame+(2*Thickness of Frame)))-((Outer Length of Frame-(2*Thickness of Frame))*Inner Width of Frame) to calculate the Area of Frame, The Area of Frame given Outer Length, Inner Width and Thickness formula is defined as the total quantity of plane enclosed by the boundary of the Frame and calculated using the outer length, inner width, and thickness of the Frame. Area of Frame is denoted by A symbol.

How to calculate Area of Frame given Outer Length, Inner Width and Thickness using this online calculator? To use this online calculator for Area of Frame given Outer Length, Inner Width and Thickness, enter Outer Length of Frame (l_Outer), Inner Width of Frame (w_Inner) & Thickness of Frame (t) and hit the calculate button. Here is how the Area of Frame given Outer Length, Inner Width and Thickness calculation can be explained with given input values -> 126 = (15*(6+(2*3)))-((15-(2*3))*6).

FAQ

What is Area of Frame given Outer Length, Inner Width and Thickness?

The Area of Frame given Outer Length, Inner Width and Thickness formula is defined as the total quantity of plane enclosed by the boundary of the Frame and calculated using the outer length, inner width, and thickness of the Frame and is represented as A = (l_Outer*(w_Inner+(2*t)))-((l_Outer-(2*t))*w_Inner) or Area of Frame = (Outer Length of Frame*(Inner Width of Frame+(2*Thickness of Frame)))-((Outer Length of Frame-(2*Thickness of Frame))*Inner Width of Frame). The Outer Length of Frame is the length or longest side of the outer rectangle of the Frame, The Inner Width of Frame is the breadth or shortest side of the inner rectangle of the Frame & The Thickness of Frame is the perpendicular distance between adjacent and parallel edges of inner and outer rectangles of Frame.

How to calculate Area of Frame given Outer Length, Inner Width and Thickness?

The Area of Frame given Outer Length, Inner Width and Thickness formula is defined as the total quantity of plane enclosed by the boundary of the Frame and calculated using the outer length, inner width, and thickness of the Frame is calculated using Area of Frame = (Outer Length of Frame*(Inner Width of Frame+(2*Thickness of Frame)))-((Outer Length of Frame-(2*Thickness of Frame))*Inner Width of Frame). To calculate Area of Frame given Outer Length, Inner Width and Thickness, you need Outer Length of Frame (l_Outer), Inner Width of Frame (w_Inner) & Thickness of Frame (t). With our tool, you need to enter the respective value for Outer Length of Frame, Inner Width of Frame & Thickness 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 Area of Frame?

In this formula, Area of Frame uses Outer Length of Frame, Inner Width of Frame & Thickness of Frame. We can use 8 other way(s) to calculate the same, which is/are as follows -

Area of Frame = ((Inner Length of Frame+(2*Thickness of Frame))*Outer Width of Frame)-(Inner Length of Frame*(Outer Width of Frame-(2*Thickness of Frame)))
Area of Frame = ((Inner Length of Frame+(sqrt(2)*Vertex Diagonal of Frame))*Outer Width of Frame)-(Inner Length of Frame*(Outer Width of Frame-(sqrt(2)*Vertex Diagonal of Frame)))
Area of Frame = (Outer Length of Frame*Outer Width of Frame)-((Outer Length of Frame-(sqrt(2)*Vertex Diagonal of Frame))*(Outer Width of Frame-(sqrt(2)*Vertex Diagonal of Frame)))
Area of Frame = (Outer Length of Frame*(Inner Width of Frame+(sqrt(2)*Vertex Diagonal of Frame)))-((Outer Length of Frame-(sqrt(2)*Vertex Diagonal of Frame))*Inner Width of Frame)
Area of Frame = ((Inner Length of Frame+(sqrt(2)*Vertex Diagonal of Frame))*(Inner Width of Frame+(sqrt(2)*Vertex Diagonal of Frame)))-(Inner Length of Frame*Inner Width of Frame)
Area of Frame = (Outer Length of Frame*Outer Width of Frame)-(Inner Length of Frame*Inner Width of Frame)
Area of Frame = ((Inner Length of Frame+(2*Thickness of Frame))*(Inner Width of Frame+(2*Thickness of Frame)))-(Inner Length of Frame*Inner Width of Frame)
Area of Frame = (Outer Length of Frame*Outer Width of Frame)-((Outer Length of Frame-(2*Thickness of Frame))*(Outer Width of Frame-(2*Thickness of Frame)))

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