No. 15-ft x 20-ft = 300 square feet. The 34 square feet you have only covers about 11% of it.
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about 34 square yards 15 ft x 20 ft = 300 ft2 = 33.33333333 yd3
A rectangular room 15 ft long and 20 ft wide has an area of 15 X 20 = 300 square feet. There are nine square feet per square yard; therefor the answer is 300/9 = 33+ square yards. At least 34 square yard units will therefore be needed.
There are 9 square feet in a square yard, so 34 divided by 9 is $3.78 a square foot.
Sorry to say but for a room that size you would need 34 yards of carpet unless you wanted to install multiple seams, which can sometimes cause problems down the road. You can find 13.6 or 15 foot carpet which would save you some materials
6/20 + 15/20 = 21/20 = 1 and 1/20 or 0.3 + 0.75 = 1.05