Answer:
Area of the parking lot = 6525 ft²
Explanation:
Since the two isosceles right-angled triangles have equal bases and heights, therefore, their areas are equal
Therefore:
Area of the parking lot = area of rectangle + 2*area of isosceles triangles
1- getting the area of the rectangle:
Area of rectangle = length * width
We are given that the dimensions of the rectangle are 45 ft and 100 ft
Therefore:
Area of rectangle = 45 * 100 = 4,500 ft²
2- getting the area of the isosceles triangle:
Area of triangle = 0.5 * base * height
From the drawing, we can note that:
base of triangle = height of triangle = smaller side of the rectangle = 45 ft
Therefore:
Area of triangle = 0.5 * 45 * 45 = 1,012.5 ft²
3- getting the total area:
Total area of parking lot = area of rectangle + 2*area of isosceles triangles
Total area of parking lot = 4500 + 2(1012.5)
Total area of parking lot = 6,525 ft²
Hope this helps :)
