Question

Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1.05 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 =1/2 ×(sum or parallel  sides)× 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.