Area

Geometry Level 2

A rectangle with an area of 60 square centimeters and whose length is twice its width is inscribed in a semicircle. Find the area of the square that could be inscribed in a circle with the same radius.


The answer is 120.

John Paolo Bayaborda by John Paolo Bayaborda , 24, Philippines

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3 solutions

If we "mirror" the rectanle and the semicircle , we obtain the circle and the sqare we are looking for ( since lenght =2*width) so the area is twice the rectangle area so is 120.

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Ramiel To-ong
Dec 14, 2015

use fox theorem

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Ram Meena
Jun 14, 2014

first of all rectangle is in semicircle and the square is in circle. from the information given in first line we can find out the radius which comes out to be square root of 60. then we can find out the the side of the square by inscribing it in circle and by using pythagoras theorem. it comes out to be square root of 120. so the final answer which is area = 120

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