A school is fencing in a rectangular area for a playground. It plans to enclose the playground using fencing on three sides (One length is a wall) The school has budgeted enough money for 75 ft of fencing material and would like to make a playground with an area of 600 ft squared. Let w represent the width of the playground. Write an expression in terms of w for the length of the playground. Write and solve an equation to find the width w. Round to the nearest tenth of a foot. What should the length of the playground be?

To solve this problem, we need to set up an equation based on the given information. Let's start by assigning variables.

Let w represent the width of the playground.

Since the playground is fenced on three sides, we can calculate the length by adding the width (w) and the length of the wall where no fencing is needed. Let's call the length L.

From the information given, we know that the total fencing material available is 75 ft. We can calculate the perimeter of the playground by adding the lengths of all the sides.

The perimeter of a rectangle is given by the formula: P = 2w + 1L.

The total fencing material available should be equal to the perimeter of the playground:
75 = 2w + L

Since we have an equation with two variables, we need another equation to solve the system. We are also given that the area of the playground is 600 ft squared.

The area of a rectangle is calculated by multiplying the length (L) by the width (w):
Area = Lw

We know that the area should be 600 ft squared:
600 = Lw

Now we have a system of two equations:

1) 75 = 2w + L
2) 600 = Lw

To find the value of w, we need to solve this system of equations. We can substitute the value of L from equation 1 into equation 2, which gives us:

600 = (2w + L)w

Expanding and simplifying this equation:
600 = 2w^2 + Lw

Rearranging the terms:
2w^2 + Lw - 600 = 0

Now we have a quadratic equation. We can either solve it by factoring, completing the square, or using the quadratic formula. Since we're asked to round to the nearest tenth of a foot, let's use the quadratic formula for more accuracy.

The quadratic formula is given by:

w = (-b ± √(b^2 - 4ac)) / (2a),

where a, b, and c are the coefficients of the quadratic equation in the form ax^2 + bx + c = 0.

In our equation, a = 2, b = L, and c = -600.

Now let's solve for w. Once we have the value of w, we can substitute it into the equation 1 to find L, the length of the playground.

that was rude^

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I don't know do your own freaking homework I can barely figure mine out.