Answer: To find the area of the white part of the billboard, we first need to find the area of the entire billboard and then subtract the area of the non-white part.
The area of a triangle can be found using the formula:
Area = (1/2) x base x height
In this case, the white part of the billboard is a right-angled triangle with a height of 4 ft and a base of 2.5 ft (half of the total base of 4.5 ft).
The area of the entire billboard is:
Area = (1/2) x base x height
Area = (1/2) x 4.5 ft x 4 ft
Area = 9 ft²
The area of the non-white part of the billboard is:
Area = (1/2) x base x height
Area = (1/2) x 2.5 ft x 4 ft
Area = 5 ft²
Therefore, the area of the white part of the billboard is:
Area of white part = Total area - Area of non-white part
Area of white part = 9 ft² - 5 ft²
Area of white part = 4 ft²
So the area of the white part of the billboard is 4 square feet.
Explanation: