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Find the Length of the Base of a Parallelogram if its Area is 24 m² and the Corresponding Height is 8 m

To find the base length of a parallelogram with an area of 24 m² and a height of 8 m, use the area formula and then find the base.

by T Santhosh

Updated Jun 19, 2024

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Find the Length of the Base of a Parallelogram if its Area is 24 m² and the Corresponding Height is 8 m

Find the Length of the Base of a Parallelogram if its Area is 24 m² and the Corresponding Height is 8 m

To find the length of the base of a parallelogram when given its area and the corresponding height, you can use a mathematical formula.

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The formula to find the area of a parallelogram is

Area = Base x Height

In this formula

The base is one of the sides of the parallelogram

The height is the perpendicular distance from the base to the opposite side

Area of the parallelogram: 24 m²

Height corresponding to the base: 8 m

Start with the area formula for a parallelogram

Area = Base x Height

Solve for the base by rearranging the formula to isolate the base on one side

Base = Area/Height

Base = 24/8

Base = 3 m

The length of the base of the parallelogram is 3 meters

How to Find the Length of the Base of a Parallelogram?

​Understanding how to find the length of the base of a parallelogram is a fundamental concept in geometry. A parallelogram is a four-sided figure with opposite sides that are both parallel and equal in length.

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Area Formula:

The area of a parallelogram can be calculated using the formula

Area = Base x Height

In this formula, the "base" is the length of one of the sides, and the "height" is the perpendicular distance from this base to the opposite side

To find the base, you need to rearrange the area formula to solve for the base

Base = Area/Height

By understanding and applying the formula correctly, you can easily solve similar problems involving parallelograms.

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