Area of Isosceles Trapezoid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Isosceles Trapezoid = ((Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)/2)*Height of Isosceles Trapezoid
A = ((BLong+BShort)/2)*h
This formula uses 4 Variables
Variables Used
Area of Isosceles Trapezoid - (Measured in Square Meter) - Area of Isosceles Trapezoid is the total quantity of plane enclosed by the boundary of the Isosceles Trapezoid.
Long Base of Isosceles Trapezoid - (Measured in Meter) - Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid.
Short Base of Isosceles Trapezoid - (Measured in Meter) - Short Base of Isosceles Trapezoid is the shorter side among the pair of parallel sides of the Isosceles Trapezoid.
Height of Isosceles Trapezoid - (Measured in Meter) - Height of Isosceles Trapezoid is the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid.
STEP 1: Convert Input(s) to Base Unit
Long Base of Isosceles Trapezoid: 15 Meter --> 15 Meter No Conversion Required
Short Base of Isosceles Trapezoid: 9 Meter --> 9 Meter No Conversion Required
Height of Isosceles Trapezoid: 4 Meter --> 4 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = ((BLong+BShort)/2)*h --> ((15+9)/2)*4
Evaluating ... ...
A = 48
STEP 3: Convert Result to Output's Unit
48 Square Meter --> No Conversion Required
FINAL ANSWER
48 Square Meter <-- Area of Isosceles Trapezoid
(Calculation completed in 00.004 seconds)

Credits

Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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3 Area of Isosceles Trapezoid Calculators

Area of Isosceles Trapezoid given Lateral Edge
Go 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)))
Area of Isosceles Trapezoid
Go Area of Isosceles Trapezoid = ((Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)/2)*Height of Isosceles Trapezoid
Area of Isosceles Trapezoid given Central Median and Height
Go Area of Isosceles Trapezoid = Central Median of Isosceles Trapezoid*Height of Isosceles Trapezoid

2 Area of Isosceles Trapezoid Calculators

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

Area of Isosceles Trapezoid Formula

Area of Isosceles Trapezoid = ((Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)/2)*Height of Isosceles Trapezoid
A = ((BLong+BShort)/2)*h

What is an Isosceles Trapezoid?

A Trapezoid is a quadrilateral with one pair of parallel edges. An Isosceles Trapezoid means a trapezoid with the pair of non parallel edges are equal. The parallel pair of edges are called bases and the pair of non parallel equal edges are called lateral edges. The angles on the long base are equal acute angles and the angles on the short base are equal obtuse angles. Also, the pair of opposite angles are supplementary to each other. And hence an Isosceles Trapezoid is cyclic.

How to Calculate Area of Isosceles Trapezoid?

Area of Isosceles Trapezoid calculator uses Area of Isosceles Trapezoid = ((Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)/2)*Height of Isosceles Trapezoid to calculate the Area of Isosceles Trapezoid, Area of Isosceles Trapezoid formula is defined as the total quantity of plane enclosed by the boundary of the Isosceles Trapezoid. Area of Isosceles Trapezoid is denoted by A symbol.

How to calculate Area of Isosceles Trapezoid using this online calculator? To use this online calculator for Area of Isosceles Trapezoid, enter Long Base of Isosceles Trapezoid (BLong), Short Base of Isosceles Trapezoid (BShort) & Height of Isosceles Trapezoid (h) and hit the calculate button. Here is how the Area of Isosceles Trapezoid calculation can be explained with given input values -> 48 = ((15+9)/2)*4.

FAQ

What is Area of Isosceles Trapezoid?
Area of Isosceles Trapezoid formula is defined as the total quantity of plane enclosed by the boundary of the Isosceles Trapezoid and is represented as A = ((BLong+BShort)/2)*h or Area of Isosceles Trapezoid = ((Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)/2)*Height of Isosceles Trapezoid. Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid, Short Base of Isosceles Trapezoid is the shorter side among the pair of parallel sides of the Isosceles Trapezoid & Height of Isosceles Trapezoid is the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid.
How to calculate Area of Isosceles Trapezoid?
Area of Isosceles Trapezoid formula is defined as the total quantity of plane enclosed by the boundary of the Isosceles Trapezoid is calculated using Area of Isosceles Trapezoid = ((Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)/2)*Height of Isosceles Trapezoid. To calculate Area of Isosceles Trapezoid, you need Long Base of Isosceles Trapezoid (BLong), Short Base of Isosceles Trapezoid (BShort) & Height of Isosceles Trapezoid (h). With our tool, you need to enter the respective value for Long Base of Isosceles Trapezoid, Short Base of Isosceles Trapezoid & Height of Isosceles Trapezoid 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 Area of Isosceles Trapezoid?
In this formula, Area of Isosceles Trapezoid uses Long Base of Isosceles Trapezoid, Short Base of Isosceles Trapezoid & Height of Isosceles Trapezoid. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Area of Isosceles Trapezoid = Central Median of Isosceles Trapezoid*Height of Isosceles Trapezoid
  • 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)))
  • Area of Isosceles Trapezoid = Central Median of Isosceles Trapezoid*Height of Isosceles Trapezoid
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