Answer:
He should buy about 2 quart of stain
Explanation:
Find the diagram attached
First we need to find the area of the given ramp
The ramp consists of two identical triangles, a larger and small rectangles
Since area of triangle = 1/2 * base * height
Area of the identical triangles = 1/2 * 25ft * 25/12 ft (Note that 1ft = 12in)
Area of the 2 identical triangles = 2* 625/24ft² = 625/12 ft²
Area of the large rectangle = Length * Width
Area of the large rectangle = 25 1/12 * 5
Area of the large rectangle = 301/12 * 5
Area of the large rectangle = 1505/12 ft²
Area of the small rectangle = 25/12 * 5
Area of the small rectangle = 125/12 ft²
Area of the figure = 625/12 + 1505/12 + 125/12
Area of the figure = (625+1505+125)/12
Area of the figure = 2255/12
Area of the figure = 187.917
Area of the figure = 187.917ft²
Since a quarter steam covers a 100' square fee, then;
1 quarter = 100ft²
x = 187.917ft²
Cross multiply
100 * x = 187.917
100x =187.917
x = 187.917/100
x = 1.87917
x ≈ 2
Hence he should buy about 2 quart of stain