Bunuel wrote:
Mary’s bedroom is an exact cube with volume measuring 1000 cubic feet. The bedroom is furnished with a rectangular yoga mat measuring 6 feet long by 4 feet wide and a circular rug measuring 6 feet in diameter. If Mary has no other furniture in her bedroom and the yoga mat and rug do not intersect in any way, how much of her bedroom floor is NOT covered by furniture?
A. 33 square feet
B. 24+9π square feet
C. 76−9π square feet
D. 67 square feet
E. 100 square feet
C
Floor area= 10*10=100 square feet
area of yoga mat= 6*4= 24 square feet
area of circular rug= π*3*3= 9π square feet
Required= 100-24-9π= 76-9π