The martins' swimming pool is a square and is in the center of a square plot that is 35 meters on a side. They have 1,081 square meters of lawn. How long is a side of the pool?

The length of a side of the pool is 12 m²

Step-by-step explanation:

Let the area of the square plot be A. Since it is a square plot of 35 m side, its area is A = 35² = 1225 m².

Let A' be the area of the lawn. Since the area of the lawn is 1081 m², A' = 1081 m².

Now the area of the pool is the difference in area between the area of the square plot and the area of the lawn. So, let A'' be the area of the square swimming pool.

So, A'' = A - A'

A'' = 1225 m² - 1081 m²

A'' = 144 m².

Since the swimming pool is a square, the length of its side, L is thus

L = √A''

L = √144 m²

L = 12 m

So, the length of a side of the pool is 12 m.

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