The robertsons put a rectangular pool with a stone walkway around it in their backyard. The total length of the pool and walkway is 3 times the total width. The walkway is 2 ft wide all around

115 square feet.

Step-by-step explanation:

Please consider the complete question.

The Robertsons put a rectangular pool with a stone walkway around it in their backyard. The total length of the pool and walkway is 3 times the total width. The walkway is 2 ft wide all around. Find the area of the pool when the total width is 9 ft.

Let w represent width of pool.

Since total length of the pool and walkway is 3 times the total width, so total length of pool and walkaway would be .

Since walkway is 2 ft wide all around, so length and width of pool will be 4 feet less that is width would be and length would be .

We know that area of rectangle is length times width, so we will get:

To find the area of pool, when total width is 9 ft, we will substitute in our area equation as:

Therefore, the area of pool would be 115 square feet.

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