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 $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 $= \frac{1}{2}\times(\text{sum of parallel sides})\times{\text{height}}$

                                 $=\frac{1}{2}\times(7+4)\times5$

                                 $=\frac{1}{2}\times11\times5$

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.