** *brainliest* the smiths want to buy a 9 ft. by 12 ft. carpet and center it in a 15 ft. by 20 ft. room. what is the area of the area not covered by the carpet?

A3cm×3cm\greend{3\,\text{cm} \times 3\,\text{cm}} 3cm×3cm start color greend, 3, space, c, m, times, 3, space, c, m, end color greend rectangle sits inside a circle with radius of 4cm\blued{4\,\text{cm}} 4cm start color blued, 4, space, c, m, end color blued . what is the area of the shaded region? round your final answer to the nearest hundredth.