a rectangular swimming pool measures 20 feet by 40 feet. a walk of uniform width surrounds it. the total area of the pool and the walk is 1500 feet squared. find the width of the walk.
To find the width of the walk, we need to subtract the area of the pool from the total area of the pool and walk combined.
Let's first calculate the area of the pool. The formula to find the area of a rectangle is length multiplied by width. In this case, the length of the pool is 40 feet and the width is 20 feet. Therefore, the area of the pool is (40 ft) * (20 ft) = 800 sq ft.
Now, we can subtract the area of the pool from the total area of the pool and walk to find the area of the walk.
Total area of pool and walk = 1500 sq ft
Area of pool = 800 sq ft
Area of walk = Total area of pool and walk - Area of pool
Area of walk = 1500 sq ft - 800 sq ft
Area of walk = 700 sq ft
Now, let's assume the width of the walk is "w".
Since the width surrounds the pool on all sides, the overall dimensions of the pool and walk will increase. So, the new length will be (40 + 2w) and the new width will be (20 + 2w).
We can now set up an equation to find the width of the walk:
Area of walk = (new length) * (new width)
700 sq ft = (40 + 2w) * (20 + 2w)
Now, we can solve this equation to find the value of "w" which represents the width of the walk.