The diagram shows the floor plan of a hotel lobby. The carpet costs $5 per square foot. How much will it cost to carpet the lobby?

It will cost $
to carpet the lobby.

Step 1:

Draw a horizontal line segment on the diagram that divides the polygon into 2 equal-sized trapezoids.

Find the area of one of the trapezoids.

A =  1/2h(b1 + b2) =  1/2· 15 · (41 + 29) = 525 square feet

Step 2:

Both trapezoids are equal in size. Multiply the area of the trapezoid found in Step 1 by 2 to find the total area of the floor plan.

2 · 525 = 1,050 square feet

The area of the floor plan is 1,050 square feet.

Step 3:

Multiply to find how much it will cost to carpet the lobby.

1,050 square feet · $4 per square foot = $4,200.00

It will cost $4,200.00 to carpet the lobby.

Step-by-step explanation:

He multiplied 3/4 by 1/5 instead of dividing 3/4 by 1/5.

Step-by-step explanation:

Correct is 3/4 / 1/5

= 3/4 * 5

= 15/4 gallons per minute.