Question

Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1.65 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.

Answer 1

Sal will pay $71.78 to tile his entryway.

Explanation:

Answer 2

Sal will pay $77.78 to tile his entryway

Solution:

The image of the question is attached below.

Given each unit length = 1 foot

Tile cost per square feet = $1. 65

To find the area, split the floor shape into two shape.

One is trapezoid and the other is parallelogram.

Let's count the grid given.

The parallels sides of trapezoid are 7 ft and 4 ft, height is 7 ft.

The base and height of the parallelogram are 4 ft and 4 ft respectively.

Area of the trapezoid
`= (1)/(2)*(\text{sum of parallel sides})*{\text{height}}`

`=(1)/(2)*(7+4)*5`

`=(1)/(2)*11*5`

Area of the trapezoid = 27.5 sq.ft

Area of the parallelogram = base × height

= 4 ft × 4 ft

Area of the parallelogram = 16 sq. ft

Total area = 27.5 sq. ft + 16 sq. ft

= 43.5 sq. ft

Cost of area per sq. ft = $1.65

Cost of area 43.5 sq. ft = 43. 5 × 1.65

= $71.775

= $71.78

Hence Sal will pay $71.78 to tile his entryway.