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Area of Rectangle given Length and Diagonal Formula

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GoArea of Rectangle given Perimeter and Length Formula

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

A = l \cdot \sqrt{d^{2} - l^{2}}

A - Area of Rectangle?l - Length of Rectangle?d - Diagonal of Rectangle?

Area of Rectangle given Length and Diagonal Example

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Here is how the Area of Rectangle given Length and Diagonal equation looks like with Values.

Here is how the Area of Rectangle given Length and Diagonal equation looks like with Units.

Here is how the Area of Rectangle given Length and Diagonal equation looks like.

48 = 8 \cdot \sqrt{10^{2} - 8^{2}}

48m² = 8m \cdot \sqrt{{10m}^{2} - {8m}^{2}}

48 = 8 \cdot \sqrt{10^{2} - 8^{2}}

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Area of Rectangle given Length and Diagonal Solution

Follow our step by step solution on how to calculate Area of Rectangle given Length and Diagonal?

FIRST Step Consider the formula

A = l \cdot \sqrt{d^{2} - l^{2}}

Next Step Substitute values of Variables

∴

A = 8m \cdot \sqrt{{10m}^{2} - {8m}^{2}}

Next Step Prepare to Evaluate

∴

A = 8 \cdot \sqrt{10^{2} - 8^{2}}

LAST Step Evaluate

∴

A = 48m²

Area of Rectangle given Length and Diagonal Formula Elements

Variables

Functions

Area of Rectangle

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

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Rectangle

Length of Rectangle

Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Rectangle

Diagonal of Rectangle

Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal of 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 Rectangle

Go Area of Rectangle

A = l \cdot b

Go Area of Rectangle given Perimeter and Length

A = \frac{(P \cdot l) - (2 \cdot l^{2})}{2}

Go Area of Rectangle given Perimeter and Diagonal

A = \frac{{(\frac{P}{2})}^{2} - d^{2}}{2}

Go Area of Rectangle given Perimeter and Breadth

A = \frac{(P \cdot b) - (2 \cdot b^{2})}{2}

How to Evaluate Area of Rectangle given Length and Diagonal?

Area of Rectangle given Length and Diagonal evaluator uses Area of Rectangle = Length of Rectangle*sqrt(Diagonal of Rectangle^2-Length of Rectangle^2) to evaluate the Area of Rectangle, Area of Rectangle given Length and Diagonal is defined as the total quantity of plane enclosed by the boundary of the Rectangle, and calculated using length and diagonal of the Rectangle. Area of Rectangle is denoted by A symbol.

How to evaluate Area of Rectangle given Length and Diagonal using this online evaluator? To use this online evaluator for Area of Rectangle given Length and Diagonal, enter Length of Rectangle (l) & Diagonal of Rectangle (d) and hit the calculate button.

FAQs on Area of Rectangle given Length and Diagonal

What is the formula to find Area of Rectangle given Length and Diagonal?

The formula of Area of Rectangle given Length and Diagonal is expressed as Area of Rectangle = Length of Rectangle*sqrt(Diagonal of Rectangle^2-Length of Rectangle^2). Here is an example- 48 = 8*sqrt(10^2-8^2).

How to calculate Area of Rectangle given Length and Diagonal?

With Length of Rectangle (l) & Diagonal of Rectangle (d) we can find Area of Rectangle given Length and Diagonal using the formula - Area of Rectangle = Length of Rectangle*sqrt(Diagonal of Rectangle^2-Length of Rectangle^2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Area of Rectangle?

Here are the different ways to Calculate Area of Rectangle-

Area of Rectangle=Length of Rectangle*Breadth of Rectangle
Area of Rectangle=((Perimeter of Rectangle*Length of Rectangle)-(2*Length of Rectangle^2))/2
Area of Rectangle=((Perimeter of Rectangle/2)^2-Diagonal of Rectangle^2)/2

Can the Area of Rectangle given Length and Diagonal be negative?

No, the Area of Rectangle given Length and Diagonal, measured in Area cannot be negative.

Which unit is used to measure Area of Rectangle given Length and Diagonal?

Area of Rectangle given Length and Diagonal 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 Rectangle given Length and Diagonal can be measured.

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Area of Rectangle given Length and Diagonal Formula

​GoArea of Rectangle Formula

​GoArea of Rectangle given Perimeter and Length Formula

Area of Rectangle given Length and Diagonal Example

Area of Rectangle given Length and Diagonal Solution

Area of Rectangle given Length and Diagonal Formula Elements

Other Formulas to find Area of Rectangle

How to Evaluate Area of Rectangle given Length and Diagonal?

FAQs on Area of Rectangle given Length and Diagonal

Variable Name

GoArea of Rectangle Formula

GoArea of Rectangle given Perimeter and Length Formula