Rectangle Length of Grid given Perimeter and Width of Rectangle Calculator

✖The Perimeter of Grid is the total length of all boundary lines of the entire Grid.ⓘ Perimeter of Grid [P]			+10% -10%
✖The Width of Grid Rectangle is the width of the rectangle from which the Grid is made by forming some square shaped holes in rows and columns.ⓘ Width of Grid Rectangle [w_Rectangle]			+10% -10%
✖The Number of Holes in Length of Grid is the count of square shaped holes present in the length of the rectangle of the Grid.ⓘ Number of Holes in Length of Grid [N_l]			+10% -10%
✖The Number of Holes in Width of Grid is the count of square shaped holes present in the width of the rectangle of the Grid.ⓘ Number of Holes in Width of Grid [N_w]			+10% -10%
✖The Edge Length of Grid Hole is the length of edges of each square shaped hole in a Grid.ⓘ Edge Length of Grid Hole [l_e(Hole)]			+10% -10%

✖The Length of Grid Rectangle is the length of the rectangle from which the Grid is made by forming some square shaped holes in rows and columns.ⓘ Rectangle Length of Grid given Perimeter and Width of Rectangle [l_Rectangle]

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Formula

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Rectangle Length of Grid given Perimeter and Width of Rectangle

Formula

`"l"_{"Rectangle"} = ("P"-(2*"w"_{"Rectangle"})-(4*"N"_{"l"}*"N"_{"w"}*"l"_{"e(Hole)"}))/2`

Example

`"32m"=("360m"-(2*"28m")-(4*"6"*"5"*"2m"))/2`

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Rectangle Length of Grid given Perimeter and Width of Rectangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Grid Rectangle = (Perimeter of Grid-(2*Width of Grid Rectangle)-(4*Number of Holes in Length of Grid*Number of Holes in Width of Grid*Edge Length of Grid Hole))/2
l_Rectangle = (P-(2*w_Rectangle)-(4*N_l*N_w*l_e(Hole)))/2
This formula uses 6 Variables

Variables Used

Length of Grid Rectangle - (Measured in Meter) - The Length of Grid Rectangle is the length of the rectangle from which the Grid is made by forming some square shaped holes in rows and columns.
Perimeter of Grid - (Measured in Meter) - The Perimeter of Grid is the total length of all boundary lines of the entire Grid.
Width of Grid Rectangle - (Measured in Meter) - The Width of Grid Rectangle is the width of the rectangle from which the Grid is made by forming some square shaped holes in rows and columns.
Number of Holes in Length of Grid - The Number of Holes in Length of Grid is the count of square shaped holes present in the length of the rectangle of the Grid.
Number of Holes in Width of Grid - The Number of Holes in Width of Grid is the count of square shaped holes present in the width of the rectangle of the Grid.
Edge Length of Grid Hole - (Measured in Meter) - The Edge Length of Grid Hole is the length of edges of each square shaped hole in a Grid.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Grid: 360 Meter --> 360 Meter No Conversion Required
Width of Grid Rectangle: 28 Meter --> 28 Meter No Conversion Required
Number of Holes in Length of Grid: 6 --> No Conversion Required
Number of Holes in Width of Grid: 5 --> No Conversion Required
Edge Length of Grid Hole: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Rectangle = (P-(2*w_Rectangle)-(4*N_l*N_w*l_e(Hole)))/2 --> (360-(2*28)-(4*6*5*2))/2

Evaluating ... ...

l_Rectangle = 32

STEP 3: Convert Result to Output's Unit

32 Meter --> No Conversion Required

FINAL ANSWER

32 Meter <-- Length of Grid Rectangle

(Calculation completed in 00.004 seconds)

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Created by Jaseem K

IIT Madras (IIT Madras), Chennai

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College of Engineering, Pune (COEP), India

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< 4 Rectangle Measures of Grid Calculators

Rectangle Length of Grid given Perimeter and Width of Rectangle

Go Length of Grid Rectangle = (Perimeter of Grid-(2*Width of Grid Rectangle)-(4*Number of Holes in Length of Grid*Number of Holes in Width of Grid*Edge Length of Grid Hole))/2

Rectangle Width of Grid given Perimeter and Length of Rectangle

Go Width of Grid Rectangle = (Perimeter of Grid-(2*Length of Grid Rectangle)-(4*Number of Holes in Length of Grid*Number of Holes in Width of Grid*Edge Length of Grid Hole))/2

Rectangle Length of Grid

Go Length of Grid Rectangle = (Number of Holes in Length of Grid*Edge Length of Grid Hole)+((Number of Holes in Length of Grid+1)*Bar Thickness of Grid)

Rectangle Width of Grid

Go Width of Grid Rectangle = (Number of Holes in Width of Grid*Edge Length of Grid Hole)+((Number of Holes in Width of Grid+1)*Bar Thickness of Grid)

Rectangle Length of Grid given Perimeter and Width of Rectangle Formula

What is a Grid?

Grid is a rectangular shape which has a number of square shaped holes in it and overall it keeps the symmetry. So the number of holes in the Grid can be calculated as the product of number of holes in row and column of the Grid rectangle.

How to Calculate Rectangle Length of Grid given Perimeter and Width of Rectangle?

Rectangle Length of Grid given Perimeter and Width of Rectangle calculator uses Length of Grid Rectangle = (Perimeter of Grid-(2*Width of Grid Rectangle)-(4*Number of Holes in Length of Grid*Number of Holes in Width of Grid*Edge Length of Grid Hole))/2 to calculate the Length of Grid Rectangle, The Rectangle Length of Grid given Perimeter and Width of Rectangle formula is the length of the rectangle in which the grid holes are made, and calculated by using the perimeter and width of the Grid rectangle. Length of Grid Rectangle is denoted by l_Rectangle symbol.

How to calculate Rectangle Length of Grid given Perimeter and Width of Rectangle using this online calculator? To use this online calculator for Rectangle Length of Grid given Perimeter and Width of Rectangle, enter Perimeter of Grid (P), Width of Grid Rectangle (w_Rectangle), Number of Holes in Length of Grid (N_l), Number of Holes in Width of Grid (N_w) & Edge Length of Grid Hole (l_e(Hole)) and hit the calculate button. Here is how the Rectangle Length of Grid given Perimeter and Width of Rectangle calculation can be explained with given input values -> 32 = (360-(2*28)-(4*6*5*2))/2.

FAQ

What is Rectangle Length of Grid given Perimeter and Width of Rectangle?

The Rectangle Length of Grid given Perimeter and Width of Rectangle formula is the length of the rectangle in which the grid holes are made, and calculated by using the perimeter and width of the Grid rectangle and is represented as l_Rectangle = (P-(2*w_Rectangle)-(4*N_l*N_w*l_e(Hole)))/2 or Length of Grid Rectangle = (Perimeter of Grid-(2*Width of Grid Rectangle)-(4*Number of Holes in Length of Grid*Number of Holes in Width of Grid*Edge Length of Grid Hole))/2. The Perimeter of Grid is the total length of all boundary lines of the entire Grid, The Width of Grid Rectangle is the width of the rectangle from which the Grid is made by forming some square shaped holes in rows and columns, The Number of Holes in Length of Grid is the count of square shaped holes present in the length of the rectangle of the Grid, The Number of Holes in Width of Grid is the count of square shaped holes present in the width of the rectangle of the Grid & The Edge Length of Grid Hole is the length of edges of each square shaped hole in a Grid.

How to calculate Rectangle Length of Grid given Perimeter and Width of Rectangle?

The Rectangle Length of Grid given Perimeter and Width of Rectangle formula is the length of the rectangle in which the grid holes are made, and calculated by using the perimeter and width of the Grid rectangle is calculated using Length of Grid Rectangle = (Perimeter of Grid-(2*Width of Grid Rectangle)-(4*Number of Holes in Length of Grid*Number of Holes in Width of Grid*Edge Length of Grid Hole))/2. To calculate Rectangle Length of Grid given Perimeter and Width of Rectangle, you need Perimeter of Grid (P), Width of Grid Rectangle (w_Rectangle), Number of Holes in Length of Grid (N_l), Number of Holes in Width of Grid (N_w) & Edge Length of Grid Hole (l_e(Hole)). With our tool, you need to enter the respective value for Perimeter of Grid, Width of Grid Rectangle, Number of Holes in Length of Grid, Number of Holes in Width of Grid & Edge Length of Grid Hole 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 Length of Grid Rectangle?

In this formula, Length of Grid Rectangle uses Perimeter of Grid, Width of Grid Rectangle, Number of Holes in Length of Grid, Number of Holes in Width of Grid & Edge Length of Grid Hole. We can use 1 other way(s) to calculate the same, which is/are as follows -

Length of Grid Rectangle = (Number of Holes in Length of Grid*Edge Length of Grid Hole)+((Number of Holes in Length of Grid+1)*Bar Thickness of Grid)

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