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1

Area of Cut Rectangle given Perimeter and Short Rectangle Side Formula

2

GoArea of Cut Rectangle Formula

3

GoArea of Cut Rectangle given Slant Side Formula

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The Area of Cut Rectangle is the total quantity of plane enclosed by the boundary of the Cut Rectangle. Check FAQs

A = (S Long \cdot S Short) - \frac{(S Long - S Long Cut) \cdot (S Short - (P - (S Long + S Short + S Long Cut + S Slant)))}{2}

A - Area of Cut Rectangle?S_Long - Long Rectangle Side of Cut Rectangle?S_Short - Short Rectangle Side of Cut Rectangle?S_{Long Cut} - Long Cut Side of Cut Rectangle?P - Perimeter of Cut Rectangle?S_Slant - Slant Side of Cut Rectangle?

Area of Cut Rectangle given Perimeter and Short Rectangle Side Example

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Here is how the Area of Cut Rectangle given Perimeter and Short Rectangle Side equation looks like with Values.

Here is how the Area of Cut Rectangle given Perimeter and Short Rectangle Side equation looks like with Units.

Here is how the Area of Cut Rectangle given Perimeter and Short Rectangle Side equation looks like.

162 = (14 \cdot 12) - \frac{(14 - 10) \cdot (12 - (50 - (14 + 12 + 10 + 5)))}{2}

162m² = (14m \cdot 12m) - \frac{(14m - 10m) \cdot (12m - (50m - (14m + 12m + 10m + 5m)))}{2}

162 = (14 \cdot 12) - \frac{(14 - 10) \cdot (12 - (50 - (14 + 12 + 10 + 5)))}{2}

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Area of Cut Rectangle given Perimeter and Short Rectangle Side Solution

Follow our step by step solution on how to calculate Area of Cut Rectangle given Perimeter and Short Rectangle Side?

FIRST Step Consider the formula

A = (S Long \cdot S Short) - \frac{(S Long - S Long Cut) \cdot (S Short - (P - (S Long + S Short + S Long Cut + S Slant)))}{2}

Next Step Substitute values of Variables

∴

A = (14m \cdot 12m) - \frac{(14m - 10m) \cdot (12m - (50m - (14m + 12m + 10m + 5m)))}{2}

Next Step Prepare to Evaluate

∴

A = (14 \cdot 12) - \frac{(14 - 10) \cdot (12 - (50 - (14 + 12 + 10 + 5)))}{2}

LAST Step Evaluate

∴

A = 162m²

Area of Cut Rectangle given Perimeter and Short Rectangle Side Formula Elements

Variables

Area of Cut Rectangle

The Area of Cut Rectangle is the total quantity of plane enclosed by the boundary of the Cut Rectangle.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Long Rectangle Side of Cut Rectangle

The Long Rectangle Side of Cut Rectangle is the length of the rectangle from which the Cut Rectangle shape forms.

Symbol: S_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Short Rectangle Side of Cut Rectangle

The Short Rectangle Side of Cut Rectangle is the breadth of the rectangle from which the Cut Rectangle shape forms.

Symbol: S_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Long Cut Side of Cut Rectangle

The Long Cut Side of Cut Rectangle is the remaining length of length of the rectangle from which the Cut Rectangle shape forms, after removing the cut portion.

Symbol: S_{Long Cut}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Perimeter of Cut Rectangle

The Perimeter of Cut Rectangle is the total length of all the boundary lines of the Cut Rectangle.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Slant Side of Cut Rectangle

The Slant Side of Cut Rectangle is the length of the slant forms after removing the cut portion from the rectangle, to create the Cut Rectangle.

Symbol: S_Slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Credits

Creator Image

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Formula and 2500+ more formulas!

Verifier Image

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Formula and 1800+ more formulas!

Other Formulas to find Area of Cut Rectangle

Go Area of Cut Rectangle

A = (S Long \cdot S Short) - \frac{(S Long - S Long Cut) \cdot (S Short - S Short Cut)}{2}

Go Area of Cut Rectangle given Slant Side

A = (S Long \cdot S Short) - \frac{\sqrt{{S Slant}^{2} - {(S Short - S Short Cut)}^{2}} \cdot (S Short - S Short Cut)}{2}

Go Area of Cut Rectangle given Perimeter and Long Rectangle Side

A = (S Long \cdot S Short) - \frac{(S Long - (P - (S Long + S Short + S Short Cut + S Slant))) \cdot (S Short - S Short Cut)}{2}

Go Area of Cut Rectangle given Perimeter and Long Cut Side

A = ((P - (S Short + S Long Cut + S Short Cut + S Slant)) \cdot S Short) - \frac{((P - (S Short + S Long Cut + S Short Cut + S Slant)) - S Long Cut) \cdot (S Short - S Short Cut)}{2}

See More

Other formulas in Area and Perimeter of Cut Rectangle category

Go Perimeter of Cut Rectangle

P = S Long + S Short + S Long Cut + S Short Cut + S Slant

How to Evaluate Area of Cut Rectangle given Perimeter and Short Rectangle Side?

Area of Cut Rectangle given Perimeter and Short Rectangle Side evaluator uses Area of Cut Rectangle = (Long Rectangle Side of Cut Rectangle*Short Rectangle Side of Cut Rectangle)-((Long Rectangle Side of Cut Rectangle-Long Cut Side of Cut Rectangle)*(Short Rectangle Side of Cut Rectangle-(Perimeter of Cut Rectangle-(Long Rectangle Side of Cut Rectangle+Short Rectangle Side of Cut Rectangle+Long Cut Side of Cut Rectangle+Slant Side of Cut Rectangle))))/2 to evaluate the Area of Cut Rectangle, Area of Cut Rectangle given Perimeter and Short Rectangle Side formula is defined as the total quantity of plane enclosed by the boundary of the Cut Rectangle. Area of Cut Rectangle is denoted by A symbol.

How to evaluate Area of Cut Rectangle given Perimeter and Short Rectangle Side using this online evaluator? To use this online evaluator for Area of Cut Rectangle given Perimeter and Short Rectangle Side, enter Long Rectangle Side of Cut Rectangle (S_Long), Short Rectangle Side of Cut Rectangle (S_Short), Long Cut Side of Cut Rectangle (S_{Long Cut}), Perimeter of Cut Rectangle (P) & Slant Side of Cut Rectangle (S_Slant) and hit the calculate button.

FAQs on Area of Cut Rectangle given Perimeter and Short Rectangle Side

What is the formula to find Area of Cut Rectangle given Perimeter and Short Rectangle Side?

The formula of Area of Cut Rectangle given Perimeter and Short Rectangle Side is expressed as Area of Cut Rectangle = (Long Rectangle Side of Cut Rectangle*Short Rectangle Side of Cut Rectangle)-((Long Rectangle Side of Cut Rectangle-Long Cut Side of Cut Rectangle)*(Short Rectangle Side of Cut Rectangle-(Perimeter of Cut Rectangle-(Long Rectangle Side of Cut Rectangle+Short Rectangle Side of Cut Rectangle+Long Cut Side of Cut Rectangle+Slant Side of Cut Rectangle))))/2. Here is an example- 162 = (14*12)-((14-10)*(12-(50-(14+12+10+5))))/2.

How to calculate Area of Cut Rectangle given Perimeter and Short Rectangle Side?

With Long Rectangle Side of Cut Rectangle (S_Long), Short Rectangle Side of Cut Rectangle (S_Short), Long Cut Side of Cut Rectangle (S_{Long Cut}), Perimeter of Cut Rectangle (P) & Slant Side of Cut Rectangle (S_Slant) we can find Area of Cut Rectangle given Perimeter and Short Rectangle Side using the formula - Area of Cut Rectangle = (Long Rectangle Side of Cut Rectangle*Short Rectangle Side of Cut Rectangle)-((Long Rectangle Side of Cut Rectangle-Long Cut Side of Cut Rectangle)*(Short Rectangle Side of Cut Rectangle-(Perimeter of Cut Rectangle-(Long Rectangle Side of Cut Rectangle+Short Rectangle Side of Cut Rectangle+Long Cut Side of Cut Rectangle+Slant Side of Cut Rectangle))))/2.

What are the other ways to Calculate Area of Cut Rectangle?

Here are the different ways to Calculate Area of Cut Rectangle-

Area of Cut Rectangle=(Long Rectangle Side of Cut Rectangle*Short Rectangle Side of Cut Rectangle)-((Long Rectangle Side of Cut Rectangle-Long Cut Side of Cut Rectangle)*(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle))/2
Area of Cut Rectangle=(Long Rectangle Side of Cut Rectangle*Short Rectangle Side of Cut Rectangle)-(sqrt(Slant Side of Cut Rectangle^2-(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle)^2)*(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle))/2
Area of Cut Rectangle=(Long Rectangle Side of Cut Rectangle*Short Rectangle Side of Cut Rectangle)-((Long Rectangle Side of Cut Rectangle-(Perimeter of Cut Rectangle-(Long Rectangle Side of Cut Rectangle+Short Rectangle Side of Cut Rectangle+Short Cut Side of Cut Rectangle+Slant Side of Cut Rectangle)))*(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle))/2

Can the Area of Cut Rectangle given Perimeter and Short Rectangle Side be negative?

No, the Area of Cut Rectangle given Perimeter and Short Rectangle Side, measured in Area cannot be negative.

Which unit is used to measure Area of Cut Rectangle given Perimeter and Short Rectangle Side?

Area of Cut Rectangle given Perimeter and Short Rectangle Side is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Cut Rectangle given Perimeter and Short Rectangle Side can be measured.

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