Final answer:
The area of the sidewalk, comprised of two triangles, a rectangle, and a square, is calculated by adding the areas of each shape, resulting in a total area of 324 square feet.
Step-by-step explanation:
To calculate the area of the sidewalk in square feet, which is composed of two triangles, a rectangle, and a square, we need to calculate the area of each shape and then add them together.
First, let's consider the two triangles. If the lengths given are 18 feet and 6 feet, it's likely that they represent two of the sides of a right-angled triangle, with the hypotenuse not necessary for area calculation. The area of one triangle is (1/2) * base * height, so for one triangle, it is (1/2) * 18 ft * 6 ft, which equals 54 square feet. Since there are two triangles, we will double this to get 108 square feet.
For the rectangle which has two sides given as 30 feet and 6 feet, the area is length * width. Therefore, the rectangle's area is 30 ft * 6 ft = 180 square feet.
The square must have sides of 6 feet as well, given the uniform width of the sidewalk. Hence, the area of the square is side * side, which is 6 ft * 6 ft = 36 square feet.
Finally, we add up the areas of all these shapes to get the total area of the sidewalk: 108 sq ft + 180 sq ft + 36 sq ft = 324 square feet.
Thus, the area of the sidewalk is 324 square feet.