Question

callie wants to build a fence between her house and her neighbor’s house, midway between points a and b. how fence be built?
image: callie’s house (left, red roof), neighbor’s house (right, brown), points a (near callie’s) and b (near neighbor’s) on a horizontal line. arrows: 14 yd (callie’s house to a), 29 yd (callie’s house to b).
the fence should be built away from point a.
options: yd, yd², yd³

Explanation:

Step1: Find the distance between A and B

First, we need to find the distance between point A and point B. The distance from Callie's house to B is 29 yd, and from Callie's house to A is 14 yd. So the distance between A and B is \( 29 - 14 = 15 \) yd.

Step2: Find the midpoint distance from A

To find the midpoint between A and B, we divide the distance between A and B by 2. So the distance from A to the midpoint (where the fence is built) is \( \frac{15}{2} = 7.5 \) yd.

Answer:

7.5 yd