a pasture is twice as long as it is wide. Its area is 115,200 ft square. How wide is the pasture

2 w * w = 2 w^2 = 115,200

w^2 = 57600
w = 240 ft

Let's assume the width of the pasture is "W" ft.

According to the problem, the length of the pasture is twice its width, so it would be 2W ft.

The formula for calculating the area of a rectangle is given by:

Area = Length × Width

Substituting the values, we have:

115,200 ft² = 2W ft × W ft

Expanding further:

115,200 ft² = 2W² ft²

Dividing both sides by 2 gives:

57,600 ft² = W² ft²

To solve for W, we can take the square root of both sides:

√(57,600 ft²) = √(W² ft²)

240 ft = W

Therefore, the width of the pasture is 240 ft.

To find the width of the pasture, we can set up an equation using the given information.

Let's assume the width of the pasture is "x" feet. According to the problem, the pasture's length is twice as long as its width, which would be 2x feet.

The formula for the area of a rectangle is length multiplied by width. We know the area of the pasture is 115,200 square feet, so we can write the equation:

Area = Length × Width
115,200 = 2x × x

Now, we can solve this equation for x.

115,200 = 2x^2

To simplify further, we'll divide both sides of the equation by 2:

57,600 = x^2

Taking the square root of both sides, we find:

x = √57,600

Using a calculator, we get x ≈ 240.

Therefore, the width of the pasture is approximately 240 feet.