Answer:
It will cost $ 3348 to carpet the lobby.
Step-by-step explanation:
Refer the attached figure
AB divides the figure into two congruent trapezium
Height of trapezium = 15.5 feet
Parallel sides = 30 feet and 42 feet
Area of one trapezium =
Area of one trapezium =
=
So, Area of both trapeziums =
So, Total Area of the floor is 1116 sq.feet.
Cost of carpet of 1 sq.ft. = $3
Cost of carpet of 1116 sq.ft. =
Hence it will cost $ 3348 to carpet the lobby.