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Area of Isosceles Trapezoid given Lateral Edge Formula

GoArea of Isosceles Trapezoid given Central Median and Height Formula

GoArea of Isosceles Trapezoid Formula

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

A = \frac{1}{4} \cdot \sqrt{{(B Long + B Short)}^{2} \cdot (B Long - B Short + (2 \cdot l e(Lateral))) \cdot (B Short - B Long + (2 \cdot l e(Lateral)))}

A - Area of Isosceles Trapezoid?B_Long - Long Base of Isosceles Trapezoid?B_Short - Short Base of Isosceles Trapezoid?l_e(Lateral) - Lateral Edge of Isosceles Trapezoid?

Area of Isosceles Trapezoid given Lateral Edge Example

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Here is how the Area of Isosceles Trapezoid given Lateral Edge equation looks like with Values.

Here is how the Area of Isosceles Trapezoid given Lateral Edge equation looks like with Units.

Here is how the Area of Isosceles Trapezoid given Lateral Edge equation looks like.

48 = \frac{1}{4} \cdot \sqrt{{(15 + 9)}^{2} \cdot (15 - 9 + (2 \cdot 5)) \cdot (9 - 15 + (2 \cdot 5))}

48m² = \frac{1}{4} \cdot \sqrt{{(15m + 9m)}^{2} \cdot (15m - 9m + (2 \cdot 5m)) \cdot (9m - 15m + (2 \cdot 5m))}

48 = \frac{1}{4} \cdot \sqrt{{(15 + 9)}^{2} \cdot (15 - 9 + (2 \cdot 5)) \cdot (9 - 15 + (2 \cdot 5))}

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2D Geometry » fx Area of Isosceles Trapezoid given Lateral Edge

Area of Isosceles Trapezoid given Lateral Edge Solution

Follow our step by step solution on how to calculate Area of Isosceles Trapezoid given Lateral Edge?

FIRST Step Consider the formula

A = \frac{1}{4} \cdot \sqrt{{(B Long + B Short)}^{2} \cdot (B Long - B Short + (2 \cdot l e(Lateral))) \cdot (B Short - B Long + (2 \cdot l e(Lateral)))}

Next Step Substitute values of Variables

∴

A = \frac{1}{4} \cdot \sqrt{{(15m + 9m)}^{2} \cdot (15m - 9m + (2 \cdot 5m)) \cdot (9m - 15m + (2 \cdot 5m))}

Next Step Prepare to Evaluate

∴

A = \frac{1}{4} \cdot \sqrt{{(15 + 9)}^{2} \cdot (15 - 9 + (2 \cdot 5)) \cdot (9 - 15 + (2 \cdot 5))}

LAST Step Evaluate

∴

A = 48m²

Area of Isosceles Trapezoid given Lateral Edge Formula Elements

Variables

Functions

Area of Isosceles Trapezoid

Area of Isosceles Trapezoid is the total quantity of plane enclosed by the boundary of the Isosceles Trapezoid.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Isosceles Trapezoid

Long Base of Isosceles Trapezoid

Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid.

Symbol: B_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Base of Isosceles Trapezoid

Short Base of Isosceles Trapezoid

Short Base of Isosceles Trapezoid is the shorter side among the pair of parallel sides of the Isosceles Trapezoid.

Symbol: B_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Base of Isosceles Trapezoid

Lateral Edge of Isosceles Trapezoid

Lateral Edge of Isosceles Trapezoid is the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid.

Symbol: l_e(Lateral)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Lateral Edge of Isosceles Trapezoid

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 Isosceles Trapezoid

Go Area of Isosceles Trapezoid given Central Median and Height

A = M \cdot h

Go Area of Isosceles Trapezoid

A = (\frac{B Long + B Short}{2}) \cdot h

How to Evaluate Area of Isosceles Trapezoid given Lateral Edge?

Area of Isosceles Trapezoid given Lateral Edge evaluator uses Area of Isosceles Trapezoid = 1/4*sqrt((Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)^2*(Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid))*(Short Base of Isosceles Trapezoid-Long Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid))) to evaluate the Area of Isosceles Trapezoid, Area of Isosceles Trapezoid given Lateral Edge formula is defined as the total quantity of plane enclosed by the boundary of the Isosceles Trapezoid, and calculated using the lateral edge of the Isosceles Trapezoid. Area of Isosceles Trapezoid is denoted by A symbol.

How to evaluate Area of Isosceles Trapezoid given Lateral Edge using this online evaluator? To use this online evaluator for Area of Isosceles Trapezoid given Lateral Edge, enter Long Base of Isosceles Trapezoid (B_Long), Short Base of Isosceles Trapezoid (B_Short) & Lateral Edge of Isosceles Trapezoid (l_e(Lateral)) and hit the calculate button.

FAQs on Area of Isosceles Trapezoid given Lateral Edge

What is the formula to find Area of Isosceles Trapezoid given Lateral Edge?

The formula of Area of Isosceles Trapezoid given Lateral Edge is expressed as Area of Isosceles Trapezoid = 1/4*sqrt((Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)^2*(Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid))*(Short Base of Isosceles Trapezoid-Long Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid))). Here is an example- 48 = 1/4*sqrt((15+9)^2*(15-9+(2*5))*(9-15+(2*5))).

How to calculate Area of Isosceles Trapezoid given Lateral Edge?

With Long Base of Isosceles Trapezoid (B_Long), Short Base of Isosceles Trapezoid (B_Short) & Lateral Edge of Isosceles Trapezoid (l_e(Lateral)) we can find Area of Isosceles Trapezoid given Lateral Edge using the formula - Area of Isosceles Trapezoid = 1/4*sqrt((Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)^2*(Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid))*(Short Base of Isosceles Trapezoid-Long Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Area of Isosceles Trapezoid?

Here are the different ways to Calculate Area of Isosceles Trapezoid-

Area of Isosceles Trapezoid=Central Median of Isosceles Trapezoid*Height of Isosceles Trapezoid
Area of Isosceles Trapezoid=((Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)/2)*Height of Isosceles Trapezoid

Can the Area of Isosceles Trapezoid given Lateral Edge be negative?

No, the Area of Isosceles Trapezoid given Lateral Edge, measured in Area cannot be negative.

Which unit is used to measure Area of Isosceles Trapezoid given Lateral Edge?

Area of Isosceles Trapezoid given Lateral Edge 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 Isosceles Trapezoid given Lateral Edge can be measured.

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Area of Isosceles Trapezoid given Lateral Edge Formula

​GoArea of Isosceles Trapezoid given Central Median and Height Formula

​GoArea of Isosceles Trapezoid Formula

Area of Isosceles Trapezoid given Lateral Edge Example

Area of Isosceles Trapezoid given Lateral Edge Solution

Area of Isosceles Trapezoid given Lateral Edge Formula Elements

Other Formulas to find Area of Isosceles Trapezoid

How to Evaluate Area of Isosceles Trapezoid given Lateral Edge?

FAQs on Area of Isosceles Trapezoid given Lateral Edge

Variable Name

GoArea of Isosceles Trapezoid given Central Median and Height Formula

GoArea of Isosceles Trapezoid Formula