The Walters' backyard pool is rectangular in shape and is similar to the rectangle formed by their fenced backyard. The pool measures 10 ft long and 8 ft wide. If the length of the backyard is 35 ft long, what is the width of the backyard?

10/35 = 8/W. W = ?.

To find the width of the backyard, we first need to determine the scale factor between the pool and the backyard.

The pool measures 10 ft long and 8 ft wide. Let's denote these dimensions as (pool length) PL = 10 ft and (pool width) PW = 8 ft.

The rectangle formed by the fenced backyard is similar to the pool, meaning the ratios of corresponding sides are equal. We can set up a proportion to find the scale factor:

(pool length) / (backyard length) = (pool width) / (backyard width)

Using the given lengths, we can substitute the values into the equation:

10 ft / 35 ft = 8 ft / (backyard width)

To solve for the backyard width, cross-multiply:

10 ft * (backyard width) = 35 ft * 8 ft

10 * (backyard width) = 280 ft

Now, we'll isolate the backyard width by dividing both sides of the equation by 10:

(backyard width) = 280 ft / 10

(backyard width) = 28 ft

Therefore, the width of the backyard is 28 ft.