Use the image to answer the question.
An illustration shows a parallelogram with a base length of 12 meters and right side of 10 meters.
A gardener wants to cover a parallelogram-shaped piece of land with colorful flowers. To find the area of the garden, the gardener composes a rectangle. What is the base of the rectangle in meters?
(1 point)
meters
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To find the base of the rectangle in meters, we need to use the formula for the area of a parallelogram: base x height. The base length of the parallelogram is given as 12 meters, and the right side is 10 meters.
To find the height of the parallelogram, we need to draw a perpendicular line from the top of the right side to the base, which forms a right angle. This divides the parallelogram into a rectangle and a right triangle.
Using the Pythagorean theorem, we can find the height of the parallelogram:
height^2 + 10^2 = 12^2
height^2 + 100 = 144
height^2 = 44
height = √44
height = 6.63 meters
Therefore, the base of the rectangle is 6.63 meters.