A rectangular swimming pool measures 15m by 10m.how wide must a concrete walk around the pool be if the walk is to have a perimeter of 66m.

I don't understand the question

if the width is w, then since there is a walk on both sides and both ends, the new dimensions are 15+2w and 10+2w. So, you need to find w such that

2(15+2w + 10+2w) = 66

Thank you steve your answer is correct.

To find out how wide the concrete walk around the pool must be, we can start by calculating the perimeter of the pool itself. The pool is rectangular, so its perimeter can be found by adding up all four sides.

Given that the length of the pool is 15m and the width is 10m, we can calculate the perimeter of the pool as follows:

Perimeter of the pool = 2(length + width)
= 2(15m + 10m)
= 2(25m)
= 50m

Now, let's assume the width of the concrete walk around the pool is 'x' meters.

Adding the width of the walkway to both the length and width of the pool, the new dimensions of the pool will be as follows:

New length = 15m + 2x
New width = 10m + 2x

To find the perimeter of the entire area, including the pool and the walkway, we can add up all four sides similar to the previous step:

Perimeter of the entire area = 2(New length + New width)
= 2((15m + 2x) + (10m + 2x))
= 2(25m + 4x)
= 50m + 8x

Given that the perimeter of the walkway is 66m, we can set up the following equation:

50m + 8x = 66m

To solve for 'x', we can start by simplifying the equation:

8x = 66m - 50m
8x = 16m

Dividing both sides of the equation by 8:

x = 16m / 8
x = 2m

Therefore, the width of the concrete walk around the pool must be 2 meters.

2m

Thank you Steve.

Your answer is accurate.

Nice answer Steve.thanks