Final answer:
To estimate the waxing cost of a restaurant's hexagonal floor, we calculated the areas of a rectangle and a trapezoid that form the floor shape. The total area of the floor was found to be 826 square feet, leading to a waxing cost of about $1,379.42 at $1.67 per square foot. Therefore correct option is E
Step-by-step explanation:
The question pertains to calculating the area of the six-sided figure and then the cost to wax this area at $1.67 per square foot.
First, we need to decompose the six-sided figure into simpler shapes to calculate the total area. The perpendicular line which is 14 feet suggests that the figure can be split into a rectangle and a trapezoid.
The area of the rectangle is obtained by multiplying the base (33 feet) by the height (14 feet).
The area of the trapezoid can be found using the formula: (Base 1 + Base 2)/2 * height, where Base 1 is 33 feet, Base 2 is 19 feet, and the height is 14 feet.
Calculating each separately, the rectangle's area is 462 square feet (33 ft * 14 ft) and the trapezoid's area is 364 square feet (((33 ft + 19 ft)/2) * 14 ft).
Adding them together gives a total area of 826 square feet.
Finally, multiplying the area by the cost of waxing per square foot ($1.67), we get a total waxing cost of approximately $1,379.42 (826 sq ft * $1.67/sq ft).
QUESTION
A maintenance worker needs to wax a restaurant floor shaped like the image shown.
A six-sided figure. There is a horizontal base of 33 feet then another horizontal base below it of 19 feet. The longest side is to the right and is 37 feet. The top is 28 feet. There is a perpendicular from the vertex of the top to the first base of 33 that is labeled 14 feet.
If the wax cost $1.67 a square foot, how much will the wax cost to cover the floor?
A)$832.50 B) $1,300.10 C)$1,664.99 D)$2,600.19 E)$1,379.42