Video Transcript
A rectangular garden is next to a
house along the road. In the garden is an orange tree
seven meters from the house and three meters from the road. There is also an apple tree, five
meters from the house and nine meters from the road. A fountain is placed halfway
between the trees. How far is the fountain from the
house and the road?
We have a garden that is next to a
house along a road. In the garden, there are two trees,
an orange tree that’s located seven meters from the house and three meters from the
road. And then, there’s an apple tree,
five meters from the house and nine meters from the road. A fountain is placed halfway
between them. How can we find out how far the
fountain is from the house and from the road?
We could write these distances in a
coordinate form, where the 𝑥-coordinate is the distance from the house and the
𝑦-coordinate is the distance from the road. The orange tree is then located at
seven, three. The apple tree is located at five,
nine. And the fountain is the
midpoint. And we know to find the midpoint,
we add the 𝑥-coordinates of the endpoints and divide by two and then add the
𝑦-coordinates of the endpoints and divide by two. Which means the fountain is located
at seven plus five divided by two and nine plus three divided by two, which is 12
over two, 12 over two or six, six. We know that our 𝑥-coordinate is
the distance from the house and the 𝑦-coordinate is the distance from the road. Therefore, the fountain is located
six meters from the house and six meters from the road.
