Mei is the manager of a hotel. she is placing rectangular rugs on the wood floors throughout the rectangular hotel lobby
• the lobby is 38 feet long and 24 feet wide.
• each rug is 4 feet long and 2 feet wide.
• she places 7 rugs throughout the lobby. the rugs do not overlap.
how much of the lobby's floor is left uncovered by the rugs?

Mei is the manager of a hotel. She is placing rectangular rugs on the wood floors throughout the rectangular hotel lobby.

The lobby is 38 feet long and 24 feet wide.

Each rug is 4 feet long and 2 feet wide.

She places 7 rugs throughout the lobby. The rugs do not overlap.

How much of the lobby's floor is left uncovered by the rugs?

 A.  

806 square feet

 B.  

912 square feet

 C.  

856 square feet

 D.  

968 square feet

Step-by-step explanation:

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

only 10/60 isn't equivalent

hope this : )