Ariel's bedroom is 170in long, 135in wide, and 8.3 ft high. Her bedroom has two windows that measure 15 sq.ft. each and a door that measures 20 sq.ft. Ariel and her daughter, Melody, are going to paint Ariel's bedroom. It is given that 1 gallon of paint covers 150 sq.ft.How many gallons of paint are needed to paint the four walls and the ceiling of Ariel's bedroom with one coat of paint? Round your final answer to two decimals places.

Question

Ariel&#039;s bedroom is 170in long, 135in wide, and 8.3 ft high. Her bedroom has two windows that measure 15 sq.ft. each and a door that measures 20 sq.ft. Ariel and her daughter, Melody, are going to paint Ariel&#039;s bedroom. It is given that 1 gallon of paint covers 150 sq.ft.How many gallons of paint are needed to paint the four walls and the ceiling of Ariel&#039;s bedroom with one coat of paint? Round your final answer to two decimals places.

avortarF · Accepted Answer

Step 1 It is given that Ariel&#039;s bedroom is 170 in long, 135 in wide, and 8.3 ft high. Her bedroom has two windows that measure 15 sq ft. each and a door that measures 20 sq ft. Step 2 It is known that 1 inch =112 ft. Thus, 170 inch =17012 ft =14.1667 ft 135 inch =13512 ft =11.25 ft. Step 3 The area of the wall as given below: A=curved surface area of room -2(area of window) - area of door Step 4 Obtain the curved surface area of the room as shown below: Curved surface area of room =2h(l+b) =2(8.3)(14.1667+11.25) =421.917 sq ft Step 5 Obtain the area of the wall as shown below: A = curved surface area of room -2(area of window) - area of door =421.917−2(15)−20 =371.91722 Step 6 Obtain the area of the ceiling as shown below: Curved surface area of room =lb =(14.1667×11.25) ≈159.3753 sq ft Step 7 Thus, the total area to be painted is 371.91722 sq ft +159.3753 sq ft =531.2925 sq ft. Obtain the number of gallons of paint required as shown below: Paint required =531.2925150 =3.54195 gallons ≈3.54gallons

Ariel's bedroom is 170in long, 135in wide, and 8.3 ft high. Her bedroom has two windows that measure 15 sq.ft. each and a door that measures 20 sq.ft.

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