Answer:
To find the area of the trapezoid-shaped playground, we need to use the formula:
Area = (1/2) × (base1 + base2) × height
In the given diagram, the length of the top base is 24 feet, the length of the bottom base is 48 feet, and the height is 52 feet.
So, the area of the playground is:
Area = (1/2) × (24 + 48) × 52
= (1/2) × 72 × 52
= 1,872 square feet
Therefore, the area of the playground is 1,872 square feet.
The closest option to this answer is option B, which is 1,768 square feet. However, the correct answer is actually 1,872 square feet.