can someone set this up for me as an equation so i can solve it. thanks

A garden area is 30ft long and 20ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400ft^2, what is the width of the path.

see the frame question.

if you don't mind i will and give you the answer if i can.30x20ft=__________
400x2 if 800 i think.do you have you math book with you?If you do look in the back and look selected answers then look at chaper number 1-12 and the like for example 10-4 the look at problem number and get the answer that way

241=square of pie? I don't get it!

To set up this problem as an equation, we can follow these steps:

1. Calculate the total area of the garden by multiplying the length and width:
Garden area = length * width = 30 ft * 20 ft = 600 ft².

2. Let's assume the width of the path around the garden is represented by 'x'.

3. Since the path is set around the edge of the garden, adding twice the width of the path to the length and width will give us the overall dimensions of the garden and path together:
Garden and path length = 30 ft + 2x
Garden and path width = 20 ft + 2x

4. Calculate the area of the garden and path together by multiplying the length and width:
(30 ft + 2x) * (20 ft + 2x) = total area.

5. Subtracting the area of the remaining garden from the total area will give us the area of the path:
(30 ft + 2x) * (20 ft + 2x) - 400 ft² = area of the path.

To find the width of the path, you would solve the equation obtained in step 5.

To set up the problem as an equation, we can start by finding the area of the entire garden, including the path.

The length of the garden is 30ft and the width is 20ft. So, the area of the garden is:

Area of the garden = Length x Width = 30ft x 20ft = 600ft^2

Now, let's assume the width of the path is 'x' feet. If we add this width to both the length and width of the garden, we get:

New length = 30ft + 2x
New width = 20ft + 2x

The area of the new garden (garden + path) is given as 400ft^2. So, we can set up the equation:

(30ft + 2x) * (20ft + 2x) = 400ft^2

Now, we can solve this equation to find the value of 'x', which represents the width of the path.

To solve this quadratic equation, we can expand the expression on the left-hand side and then solve the resulting equation by bringing all the terms to one side and factoring:

(30ft + 2x) * (20ft + 2x) = 400ft^2
(600ft^2) + (60ft * 2x) + (4x^2) = 400ft^2
4x^2 + 120x + 600ft^2 - 400ft^2 = 0
4x^2 + 120x + 200ft^2 = 0

From here, you can solve this quadratic equation using various methods like factoring, completing the square, or using the quadratic formula. Once you find the values of 'x', you can determine the width of the path.