A rancher wants to fence in an area of 3000000 square feet in a rectangular field and then divide it in half with a fence down the middle, parallel to one side.
Length of fence:______ feet
*obviously I'm bad at word problems but that's why I'm trying to work on them and need help figuring out the steps
To find the length of the fence, we need to break down the problem into smaller steps:
Step 1: Understand the problem-
The problem states that a rancher wants to fence in an area of 3000000 square feet in a rectangular field and divide it in half with a fence parallel to one side.
Step 2: Find the dimensions of the rectangular field-
Since we want to fence in an area of 3000000 square feet, we need to know the dimensions of the rectangular field. Let's assign variables to the length and width of the field:
Length of field = L feet
Width of field = W feet
By multiplying the length and width, we get the formula for the area of a rectangle:
Area of field = Length of field * Width of field
Step 3: Calculate the area of the field-
The problem states the area of the field is 3000000 square feet, so we can set up the equation:
3000000 = L * W
Step 4: Divide the field in half with a fence-
Next, we need to divide the field in half by placing a fence parallel to one side. This will create two equal halves of the field. The length of the fence will be the width of the field (W).
Step 5: Solve the equation to find the width of the field-
Using the equation we set up in Step 3, we can solve for the width of the field (W):
3000000 = L * W
To isolate W, divide both sides of the equation by L:
W = 3000000 / L
Step 6: Substitute the value of W into the equation for the length of the fence-
Since the length of the fence is equal to the width of the field, we can substitute the value of W we found in Step 5 into the equation for the length of the fence. Therefore, the length of the fence becomes:
Length of fence = W = 3000000 / L
By following these steps, you will be able to find the length of the fence in terms of the length of the field (L feet).
you don't have enough information here.
the rectangle can be square or long and skinny. The long skinny field will need lots more fence than the square one.
And, if it's not square, does the extra fence down the middle cross the short way, or the long way? Makes a big difference.