Question

You are feeding a room that is 25‘ x 25‘ there is a window in the room there's 4‘ x 3‘ x 6‘ the paint cost $12 per gallon 1 gallon of paint covers 100 ft.² what is the area of the room

Answer 1

With an assumption of room height = 8 ft we have;

The area of the room is 800 ft²

Area to be painted = 794.667 ft²

Paint required ≈ 7.95 gallons of paint

Cost of paint = $95.36

Explanation:

Here we have if the height of the room is taken as 8 ft,

Therefore the total area in the room is 25 × 8 × 4 = 800 ft²

since the room has a window with three sides, therefore a triangular window of dimensions

4 ft by 3 ft by 6 ft

The area of the window is then

`A = √(6.5(6.5-4)(6.5-3)(6.5-6))`

Where the semi perimeter = (4 + 3 + 6)/2 = 6.5

Area of window, A = 5.333 ft²

Therefore, the total area to be painted = 800 ft² - 5.333 ft² = 794.667 ft².

Therefore the number of gallons of paint required ≈ 7.95 gallons

Cost of paint= $12 × 7.95 = $95.36.