Question

Sal is tiling his entryway. His floor plan is drawn on a unit grid. Each unit length represents one foot. Tile costs $1.05 per square foot. How much will sal pay to tile his entryway?

Answer 1

The total amount paid by Sal to tile his entryway  = $51.45

Step-by-step explanation:

Here, as we can see in the given figure:

The floor plan is an irregular figure.

So, we try and divide the figure in to two equal parts horizontally.

The first part : Trapezoid

The second part : Parallelogram

Now, the dimensions of the trapezoid are:

Base Length  = 7 ft

Top Length  = 4 ft

Height  = 6 ft

Area of the Trapezoid  =  $\frac{1}{2} \times(\textrm{Sum of parallel sides}) \times (\textrm{Distance between them})$

=$\frac{1}{2} \times (7+4) \times 6 = 33$

So, the area of trapezium  = 33  sq ft.  .......... (1)

Now, the dimensions of the parallelogram are:

Length  =  4 ft   =   Width

Area of the parallelogram  =  Length x Width

= 4 ft x 4 ft = 16 sq ft

So, the area of parallelogram = 16  sq ft.  .......... (2)

Now adding (1) and (2), we get

Total Area  of the entryway  =  33 sq ft + 16 sq ft =  49 sq ft

Cost  of tiling per sq ft   = $1.05  

So, the cost of tiling  49 sq ft  =  $1.05  x 49

= $51.45

Hence, the total amount paid by Sal to tile his entryway  = $51.45