Question Video: Finding Midpoint Coordinates in a Real-World Context | Nagwa Question Video: Finding Midpoint Coordinates in a Real-World Context | Nagwa

# Question Video: Finding Midpoint Coordinates in a Real-World Context Mathematics • Third Year of Preparatory School

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A rectangular garden is next to a house along the road. In the garden is an orange tree 7 m from the house and 3 m from the road. There is also an apple tree, 5 m from the house and 9 m from the road. A fountain is placed halfway between the trees. How far is the fountain from the house and the road?

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### 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.

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