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Area of Cut Rectangle given Slant Side Formula

GoArea of Cut Rectangle Formula

GoArea of Cut Rectangle given Perimeter and Long Rectangle 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{\sqrt{{S Slant}^{2} - {(S Short - S Short Cut)}^{2}} \cdot (S Short - S Short Cut)}{2}

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

Area of Cut Rectangle given Slant Side Example

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

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

Here is how the Area of Cut Rectangle given Slant Side equation looks like.

162 = (14 \cdot 12) - \frac{\sqrt{5^{2} - {(12 - 9)}^{2}} \cdot (12 - 9)}{2}

162m² = (14m \cdot 12m) - \frac{\sqrt{{5m}^{2} - {(12m - 9m)}^{2}} \cdot (12m - 9m)}{2}

162 = (14 \cdot 12) - \frac{\sqrt{5^{2} - {(12 - 9)}^{2}} \cdot (12 - 9)}{2}

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Area of Cut Rectangle given Slant Side Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = (14m \cdot 12m) - \frac{\sqrt{{5m}^{2} - {(12m - 9m)}^{2}} \cdot (12m - 9m)}{2}

Next Step Prepare to Evaluate

∴

A = (14 \cdot 12) - \frac{\sqrt{5^{2} - {(12 - 9)}^{2}} \cdot (12 - 9)}{2}

LAST Step Evaluate

∴

A = 162m²

Area of Cut Rectangle given Slant Side Formula Elements

Variables

Functions

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.

Formulas to find Area of Cut Rectangle

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.

Formulas to find Long Rectangle Side of Cut Rectangle

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.

Formulas to find Short Rectangle Side of Cut Rectangle

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.

Formulas to find Slant Side of Cut Rectangle

Short Cut Side of Cut Rectangle

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

Symbol: S_{Short Cut}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Cut Side of Cut Rectangle

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.

Syntax: sqrt(Number)

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 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}

Go Area of Cut Rectangle given Perimeter and Short Cut Side

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

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 Slant Side?

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

FAQs on Area of Cut Rectangle given Slant Side

What is the formula to find Area of Cut Rectangle given Slant Side?

The formula of Area of Cut Rectangle given Slant Side is expressed as 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. Here is an example- 162 = (14*12)-(sqrt(5^2-(12-9)^2)*(12-9))/2.

How to calculate Area of Cut Rectangle given Slant Side?

With Long Rectangle Side of Cut Rectangle (S_Long), Short Rectangle Side of Cut Rectangle (S_Short), Slant Side of Cut Rectangle (S_Slant) & Short Cut Side of Cut Rectangle (S_{Short Cut}) we can find Area of Cut Rectangle given Slant Side using the formula - 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. This formula also uses Square Root (sqrt) function(s).

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

Can the Area of Cut Rectangle given Slant Side be negative?

No, the Area of Cut Rectangle given Slant Side, measured in Area cannot be negative.

Which unit is used to measure Area of Cut Rectangle given Slant Side?

Area of Cut Rectangle given Slant 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 Slant Side can be measured.

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Area of Cut Rectangle given Slant Side Formula

​GoArea of Cut Rectangle Formula

​GoArea of Cut Rectangle given Perimeter and Long Rectangle Side Formula

Area of Cut Rectangle given Slant Side Example

Area of Cut Rectangle given Slant Side Solution

Area of Cut Rectangle given Slant Side Formula Elements

Other Formulas to find Area of Cut Rectangle

Other formulas in Area and Perimeter of Cut Rectangle category

How to Evaluate Area of Cut Rectangle given Slant Side?

FAQs on Area of Cut Rectangle given Slant Side

Variable Name

GoArea of Cut Rectangle Formula

GoArea of Cut Rectangle given Perimeter and Long Rectangle Side Formula