Video: Using the Area of a Parallelogram to Find the Length of One of Its Sides

Given that the area of the parallelogram π‘‹π‘Œπ‘πΏ = 610.9 cmΒ², find the length of 𝑋𝐿.

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Video Transcript

Given that the area of the parallelogram π‘‹π‘Œπ‘πΏ is equal to 610.9 square centimeters, find the length of 𝑋𝐿.

We need to calculate the length of the base of the parallelogram 𝑋𝐿. We are also told that the area of the parallelogram is 610.9 square centimeters. We recall that the area of any parallelogram can be calculated by multiplying its base by its perpendicular height. The perpendicular height 𝐿𝑀 is equal to 20.5 centimeters. If we let the length 𝑋𝐿 be 𝑏 centimeters, then the area is equal to 𝑏 multiplied by 20.5. As the area is 610.9, this is equal to 20.5𝑏.

We can calculate the value of 𝑏 by dividing both sides of this equation by 20.5. This gives us 𝑏 is equal to 29.8. The length of 𝑋𝐿 is therefore equal to 29.8 centimeters.

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