The length of a pool is 3 feet more than twice its width. If the perimeter of the pool is 72 feet, find the dimensions of the pool by writing and solving a system of equations.

L = 2W + 3

2L + 2W = 72

Substitute 2W+3 for L in second equation and solve for W. Insert that value into the first equation and solve for L. Check by inserting both values into the second equation.

The perimeter of a pool is 126 feet. The length is twice the width. Find the dimensions

Let's say the width of the pool is "x" feet.

According to the problem, the length of the pool is 3 feet more than twice its width, so the length would be 2x + 3 feet.

The perimeter of a rectangle is given by the formula P = 2(length + width).

Substituting the given values into the formula, we get:
72 = 2(2x + 3 + x)

Simplifying this equation would give us:
72 = 2(3x + 3)

Let's distribute and simplify further:
72 = 6x + 6

Subtracting 6 from both sides, we get:
66 = 6x

Dividing both sides by 6, we find:
x = 11

So the width of the pool is 11 feet.

Now, substituting the value of x into the expression for the length of the pool, we get:
Length = 2x + 3 = 2(11) + 3 = 22 + 3 = 25

Therefore, the dimensions of the pool are:
Width = 11 feet, and Length = 25 feet.

To find the dimensions of the pool, we can set up a system of equations using the given information.

Let's assume the width of the pool is represented by "w" feet.

According to the problem, the length of the pool is 3 feet more than twice its width. Therefore, the length can be represented as "2w + 3" feet.

The formula for the perimeter of a rectangle is given by P = 2l + 2w. In this case, the perimeter of the pool is 72 feet. Substituting the length and width into this equation, we get:

72 = 2(2w + 3) + 2w

Next, we can simplify and solve the equation step-by-step:

72 = 4w + 6 + 2w

Combine like terms:

72 = 6w + 6

Subtract 6 from both sides:

66 = 6w

Divide both sides by 6:

11 = w

Therefore, the width of the pool is 11 feet.

To find the length, substitute this value of w back into the equation:

Length = 2w + 3 = 2 * 11 + 3 = 22 + 3 = 25 feet.

So, the dimensions of the pool are 11 feet (width) and 25 feet (length).