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 35 feet then another horizontal base below it of 20 feet. The longest side is to the right and is 40 feet. The top is 30 feet. There is a perpendicular from the vertex of the top to the first base of 35 that is labeled 15 feet.


If the wax cost $1.38 a square foot, how much will the wax cost to cover the floor?

$1,224.75
$1,569.75
$2,104.50
$2,449.50
Can you hurry pls?

Answer 1

To calculate the area of the restaurant floor, we need to break it down into two parts: a trapezoid and a triangle.

The area of the trapezoid is given by the formula:

A = (b1 + b2) x h / 2

where b1 and b2 are the lengths of the two bases of the trapezoid, and h is the height.

In this case, the trapezoid has bases of 35 ft and 20 ft, and a height of 15 ft (the perpendicular from the vertex of the top to the first base of 35 ft). Substituting these values into the formula, we get:

A = (35 ft + 20 ft) x 15 ft / 2 = 525 square feet

The area of the triangle is given by the formula:

A = b x h / 2

where b is the base of the triangle, and h is the height.

In this case, the triangle has a base of 40 ft and a height of 15 ft (the same as the height of the trapezoid). Substituting these values into the formula, we get:

A = 40 ft x 15 ft / 2 = 300 square feet

Adding the area of the trapezoid and the area of the triangle, we get the total area of the restaurant floor:

525 square feet + 300 square feet = 825 square feet

Finally, to calculate the cost of waxing the floor, we can multiply the total area by the cost per square foot:

825 square feet x $1.38/square foot = $1,138.50

Therefore, the wax will cost $1,138.50 to cover the floor. The closest answer choice is $1,224.75, but that is not the correct answer.