The diagram shows the floor plan of a hotel lobby. Carpet costs $2 per square foot. How much will it cost to carpet the lobby? 28 ft39 ft28 ft14.5 ft14.5 ft

,

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 = \frac{1}{2} \times \text{Sum of parallel sides} \times Height

2

1

×Sum of parallel sides×Height

Area of one trapezium = \frac{1}{2} \times (30+42) \times15.5

2

1

×(30+42)×15.5

= 558 ft^2558ft

2

So, Area of both trapeziums = 558 \times 2 = 1116 ft^2558×2=1116ft

2

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. = 1116 \times 3 =33481116×3=3348

Hence it will cost $ 3348 to carpet the lobby.

366

step-by-step explanation: