Question

Find the number of gallons of paint needed to cover all four sides of the building shown with two coats of paint if one gallon covers 350 square feet. Disregard windows and doors. Round to the nearest gallon.

Answer 1

3 gallons of paint

Explanation:

Painting with a coat of paint

Area of the building painted = Area of Rectangle with dimensions 20 ft × 10 ft + Area of triangle with height 5 ft and base 20 ft + Area of rectangle with dimensions 24 ft and 10 ft

= {20 × 10} + {(1/2)×5×20} + {24×10}

= 200 + 50 + 240

= 490 square ft

With two coats of paint:

Multiply Area of the building painted by 2

= 2 × 490 square ft

= 980 square ft.

Area of the building painted = 980 square feet.

Paint needed to cover 350 square feet = 1 gallon of paint

980 square feet needs

= 980/350

=2.8 gallons of paint.

Approximately, 3 gallons of paint to the nearest gallon