High School

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Find the x and y coordinates of the center of gravity of a 4.00 ft by 8.00 ft rectangle.
a) x=2.00 ft, y=4.00 ft
b) x=4.00 ft, y=2.00 ft
c) x=4.00 ft, y=4.00 ft
d) x=2.00 ft, y=2.00 ft

Answer :

Final answer:

The center of gravity for a 4.00 ft by 8.00 ft rectangle is found at the midpoint of its dimensions, giving an answer of a) x=2.00 ft, y=4.00 ft.

Explanation:

The center of gravity of a rectangle is located at the intersection of its diagonals. For a 4.00 ft by 8.00 ft rectangle, the center of gravity would be exactly at the midpoint of each side. Therefore, the x-coordinate would be half the width of the rectangle (4.00 ft / 2), and the y-coordinate would be half the length of the rectangle (8.00 ft / 2).

The x-coordinate of the center of gravity is therefore 2.00 ft, and the y-coordinate is 4.00 ft. So, the correct answer is: a) x=2.00 ft, y=4.00 ft.

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