Ms. Jacobs is planning to put a fence around a rectangular part of her yard. She wants the area of the yard inside the fence to be 216 square feet. The fenced part of her yard has a length of 18 feet. Ms. Jacobs wants to put a 3-foot iron gate on one side of the fenced yard. How many feet of fencing does she need for the rest of the fenced yard? Please show me how to get the correct answer for this.
216/18 = 12, so the yard is 12x18, making the perimeter 60 feet.
So, without the gate, she needs 57 feet of fence.
To find the amount of fencing Ms. Jacobs needs for the rest of the fenced yard, we first need to determine the width of the fenced yard.
We already know that the length of the fenced yard is 18 feet. Let's assume the width is "w" feet.
We can calculate the area of the fenced yard by multiplying the length and width:
Area = Length × Width
Given that the area of the fenced yard is 216 square feet, we can write the equation as:
216 = 18 × Width
Now, let's solve for the width:
Width = 216 ÷ 18 = 12 feet
We have determined that the width of the fenced yard is 12 feet.
Next, we need to calculate the total length of fencing required. The fenced yard has dimensions of 18 feet by 12 feet. However, Ms. Jacobs wants to install a 3-foot gate on one side. Therefore, the length of the remaining sides (excluding the side with the gate) needs to be calculated.
Since there are two sides of the same length, we need to double the width to account for both sides:
Length of the remaining sides = 2 × Width = 2 × 12 = 24 feet
Now, let's calculate the total length of fencing required for the rest of the fenced yard:
Total length of fencing = Length of the remaining sides + Length of the gate
Total length of fencing = 24 feet + 3 feet = 27 feet
Therefore, Ms. Jacobs needs 27 feet of fencing for the rest of the fenced yard.