How much money will it cost to buy the paint? Show all work

Step-by-step explanation:

Circle:

diameter = 30 ft

r = 30/2 = 15 ft

Area = πr²

         = 3.14 * 15*15

         = 706.50 square feet

Triangle:

base (b) = 30 ft

height (h) = 20 ft

Area =

       = 300 square feet

Area of four triangles  = 4 * 300

                                    = 1200  square feet

Area to be painted blue = area of circle + area of 4 triangles

                                        = 706.50 + 1200

                                        = 1906.50 square feet

Area painted by one bucket blue paint  = 350 sq. feet

Number of paint buckets needed = 1906.50 ÷ 350

                                                       = 5.44

                                                       = 6

6 buckets of blue paint is needed.

Cost of 6 buckets of blue paint = 85.50 * 6

                                                    = $ 513

Each part of the design needs two coats.

So Cost for  two coats = 2 * 513

                                     = $ 1026

Square:

Side  =  40 ft

Area of square = side *side

                         = 40*40

                         = 1600 sq. ft

Area of square to be painted yellow = area of square - area of circle

                                                           = 1600 - 706.50

                                                          = 893.50 sq.ft

Area painted with  one bucket of yellow paint = 250 sq. ft

Number of yellow paint buckets needed = 893.50 ÷ 250

                                                                    = 3.574

                                                                    = 4

4 buckets of yellow bucket is needed

Cost of 4 buckets of yellow bucket = 64.50 * 4

                                                          = $ 258

Each part of the design needs two coats.

So Cost for  two coats = 2 * 258

                                     = $ 516

51840000 cm 2

step-by-step explanation: