I need some help with this problem please!!

your parents are installing a rectangular in-ground pool with the dimensions 24 feet by 10 feet. They decide to place a walkway around the pool 3 feet wide. What is the area of the proposed walkway?

Answers:
a.) 240 square feet b.) 204 square feet
c.) 92 feet d.) 68 feet

outside dimensions are

24+6 by 10+6 or 30 by 16 or 480 ft^2
inner dimensions are 24 by 10 or 240 ft^2
480 - 240 = 240 ft^2 walkway

Thanks!!

To find the area of the proposed walkway, we need to subtract the area of the pool from the area of the pool and walkway combined.

First, let's find the area of the pool. The pool has dimensions 24 feet by 10 feet, so the area of the pool is 24 feet * 10 feet = 240 square feet.

Next, we need to find the dimensions of the pool and walkway combined. Since the walkway is 3 feet wide around the entire pool, we add 3 feet to the length and 3 feet to the width of the pool to get the dimensions of the pool and walkway. The new length becomes 24 feet + 2 * 3 feet = 24 feet + 6 feet = 30 feet. The new width becomes 10 feet + 2 * 3 feet = 10 feet + 6 feet = 16 feet.

Now, we can calculate the area of the pool and walkway combined. The area is 30 feet * 16 feet = 480 square feet.

Finally, we can find the area of the walkway by subtracting the area of the pool from the area of the pool and walkway combined. The area of the walkway is 480 square feet - 240 square feet = 240 square feet.

Therefore, the correct answer is option a.) 240 square feet.