SOLUTION: Dana buys a peice of carpet that measures 20 square yards. will she be able to completely cover a rectangular floor that measures 12 ft. 6 in. by 16 ft. 6 in.? why or why not.

Algebra ->  Surface-area -> SOLUTION: Dana buys a peice of carpet that measures 20 square yards. will she be able to completely cover a rectangular floor that measures 12 ft. 6 in. by 16 ft. 6 in.? why or why not.      Log On


   

Question 1014709: Dana buys a peice of carpet that measures 20 square yards. will she be able to completely cover a rectangular floor that measures 12 ft. 6 in. by 16 ft. 6 in.? why or why not.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1 yard is 36 inches.
So 1 sq. yd is 36%2A36=1296in%5E2
So then 20 sq. yds would be A%5Bc%5D=20%2A1296=25920in%5E2
Converting the other sizes into inches,
L=12%2A12%2B6=144%2B6=150in
W=16%2A12%2B6=196in
So the area to be covered is,
A%5Bf%5D=L%2AW=196%2A150=29400in%5E2
The area to be covered is larger than the area of the carpet.
No, it won't cover.