Question

Damari needs to paint the circular concrete mural at the park. The mural has a diameter of 45 feet. A gallon of paint covers approximately 300 square feet. Each gallon is $18.99. How much will Damari spend in order to paint the mural? Use 3.14 to approximate π .

Answer 1

$100.647

Explanation:

Diameter = 45ft

Radius = diameter / 2 = 45 / 2 = 22.5ft.

1 gallon of paint covers 300ft²

1 gallon cost $18.99

The total area of the mural = πr² (since it's circular and area of a circle = πr²)

Area = πr²

Area = 3.14 * (22.5)²

Area = 1589.625ft²

The total area of the mural = 1589.625ft²

1 gallon of paint covers 300ft²

X gallons of paint will cover 1589.625ft²

Making x the subject by cross multiplying

X = (1 * 1589.625) / 300

X = 5.29875 gallons.

5.3 gallons will be required to paint 1589.625ft²

But 1 gallon costs = $18.99

5.3 gallons will cost $ y

y = (5.3 * 18.99) / 1

y = $100.647

Damari will spend $100.647 to paint the mural.