Question

home improvement callie wants to build a fence halfway between her house and her neighbors house. how far away from callies house should the fence be built? callies house neighbors house

Explanation:

Step1: Identify the relevant distance

The total distance between the two houses is \(28\) yards. The distance from the neighbor's house to the fence is \(28 - 10=18\) yards. But we need the distance from Callie's house. Since the fence is halfway, we can also use the formula for the mid - point. If the total distance \(d = 28\) yards, and the distance from Callie's house to the fence is \(x\), and from the fence to the neighbor's house is \(y\), and \(x + y=d\) and \(x=y\) (because it's a halfway fence). But another way: the distance from Callie's house to the fence is \(10+(28 - 10)\div2\). First, find the remaining distance \(28-10 = 18\) yards. Then divide by \(2\) (since it's halfway) \(18\div2=9\) yards. Then add the \(10\) yards from Callie's house to the start of the \(18\) - yard segment.

Step2: Calculate the distance

$$10+\frac{28 - 10}{2}=10 + 9=19$$

Answer:

\(19\) yards