Question

The graph shows the location of Amber's, Betsey's, and Claire's houses. Each unit on the graph represents 1 block.

If Amber walks from her house to Claire's house, then on to Betsey's house along the path shown, how far will she have walked in blocks? Round your answer to the nearest hundredth.

Answer 1

The total distance walked by Amber = 17.63 units

Explanation:

The given graphs shows the locations of Amber's, Betsey's and Claire's houses.

Each unit on the graph represents 1 block.

It is formed a right angle triangle.

In a right angle triangle, the sum of the squares of the legs is equal to the square of the hypotenuse. It is called the Pythagorean statement.

Here hypotenuse represents the distance between Amber house and Claire house.

We use the Pythagorean statement and find the distance between Amber house and Claire house.

Since Distance from Claire's house to Betsey's house = 7 blocks = 7 units

and distance between Amber and Betsey's house = 8 blocks = 8 units

Distance² = 7² + 8²

= 49 + 64

= 113

Taking square root on both sides, we get

√Distance² = √113

Distance = 10.63 units

So, the distance between Amber house to Claire house = 10.63 units

Therefore, the total distance walked by Amber = 10.63 units + 7 units

= 17.63 units

Answer 2

Distance between Amber and Claire's house = 17.63 blocks

Explanation:

In this graph three points are showing the locations of Amber's, Betsey's and Claire's houses.

Each unit on the graph represents 1 block.

Amber walks from her house to Claire's house, then on to Betsey's house.

We have to calculate the distance covered by Amber.

Since Distance from Claire's house to Betsey's house = 7 blocks = 7 units

and distance between Amber and Betsey's house = 8 blocks = 8 units

Now we will calculate the distance between Amber and Claire's house by Pythagoras theorem.

Distance² = 7² + 8² = 49 + 64 = 113

Distance = √113 units = 10.63 units

Therefore, total distance walked by Amber = 10.63 + 7 = 17.63 units = 17.63 blocks