The perimeter of a rectangular pool is 160 meters. The length of the pool is 20 meters more than its width. What is the length?
Let's assume that the width of the pool is represented by x. Therefore, the length of the pool is x + 20.
The perimeter of a rectangle is given by the formula: 2(length + width).
Substituting the values into the formula, we get:
2(x + 20 + x) = 160
Simplifying the equation, we get:
2(2x + 20) = 160
4x + 40 = 160
4x = 120
x = 30
Therefore, the length of the pool is x + 20 = 30 + 20 = <<30+20=50>>50 meters. Answer: \boxed{50}.
Let x be the width of the rectangular pool.
The length of the pool is then x + 20.
The formula for the perimeter of a rectangle is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.
Since the perimeter of the pool is 160 meters, we can write the equation:
160 = 2(x + 20) + 2x.
Simplifying the equation, we have:
160 = 2x + 40 + 2x.
Combining like terms:
160 - 40 = 4x.
120 = 4x.
Dividing both sides of the equation by 4:
x = 30.
Therefore, the width of the pool is 30 meters.
To find the length, we need to add 20 to the width:
Length = 30 + 20 = 50.
So, the length of the pool is 50 meters.