Question

Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1.95 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.

Answer 1

Sal will pay $84.83 to tile his entryway

Solution:

The image of the question is attached below.

Given each unit length = 1 foot

Tile cost per square feet = $1.95

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`
`of`
`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 = $1.95

Cost of area 43.5 sq. ft = 43.5 × 1.95

= $84.825

= $84.83

Hence Sal will pay $84.83 to tile his entryway.