Asteel rod that is 64 feet long must be cut into three pieces to fabricate the supports for a drill press. the longest piece is 3.09 times the shortest and the middle piece is 1.73 times the shortest. how long is each piece? round nearest foot.

let's x be the shortest piece

the middle piece is 1,73 *x

the longest piece is 3,09 x

then if we sum the 3 pieces we will get the steel rod that is 64 feet long

so x+1,73x+3,09x= 5,82x= 64  then x= 10,99 = 11

the shortest piece is 11 feet

the middle piece is 1,73*11=19,03 feet

The longest piece is: 3,09*11= 33,99= 34 feet

20

step-by-step explanation: