Nya is building a garden in her yard. She has 24 feet of fencing for her garden and wants it to be in the shape of a rectangle with a length of 3 feet. What does the width need to be for this to work?(1 point) Responses 3 6 4 9
Explain in detail how to set up this problem, but don't actually solve it.
To set up this problem, we need to understand the information given. Nya has a total of 24 feet of fencing to use for her garden. She wants her garden to be in the shape of a rectangle, and the length of the garden is specified to be 3 feet.
Now, let's consider the dimensions of the rectangle garden. We can let the width of the garden be denoted as 'w'. The length is given as 3 feet.
The perimeter of a rectangle can be calculated by adding the lengths of all the sides. In this case, the perimeter of the garden is equal to the total amount of fencing Nya has, which is 24 feet.
The formula to find the perimeter of a rectangle is P = 2w + 2l, where P is the perimeter, w is the width, and l is the length of the rectangle.
So, we can write the equation for the perimeter of Nya's garden as 24 = 2w + 2(3).
Next, we can simplify this equation to find the width of the garden. Solving this equation will give us the value of 'w', which is the width Nya needs for her garden to work.
Remember, we are not solving the equation in this explanation, just illustrating the set-up of the problem.
To set up this problem, we need to understand the perimeter of a rectangle and the given information.
First, let's understand what perimeter means. Perimeter is the distance around the outside of a shape. For a rectangle, the formula to calculate perimeter is P = 2L + 2W, where P represents the perimeter, L represents the length, and W represents the width.
Now, let's look at the information given in the question. Nya has 24 feet of fencing for her garden, and she wants it to be in the shape of a rectangle with a length of 3 feet.
To solve for the width, we will use the formula for perimeter. We know that the perimeter (P) should be equal to the length of the fencing, which is 24 feet. So, we have 2L + 2W = P, which becomes 2(3) + 2W = 24.
Thus, to find the width, we need to solve the equation 6 + 2W = 24. By solving this equation, we can determine the value of the width that will make the garden work.
To solve this problem, we need to understand that a rectangle has two equal sides and two equal lengths. In this case, Nya wants to build a rectangular garden with a length of 3 feet.
The perimeter or fencing required for a rectangle is calculated by adding the length of all the sides. Since there are two equal lengths, we can calculate the perimeter as follows:
Perimeter = 2 * Length + 2 * Width
Nya has 24 feet of fencing. So, we can set up the equation as follows:
24 = 2 * 3 + 2 * Width
By solving this equation, we can find the width of the garden that would work with the given fencing and length.