The graph shows the location of Grant's, Hannah's, and Isobel's houses. Each unit on the graph represents 1 block. A coordinate plane graph is shown. Grants house is located at negative 4 comma 3. Hannahs house is located at 1 comma 3. Isobels house is located at 1 comma negative 4. If Grant walks from his house to Isobel's house, then on to Hannah's house along the path shown, how far will he have walked in blocks? Round your answer to the nearest tenth.

Question

Mathematics

Alan Simpson

2 April, 08:50

The graph shows the location of Grant's, Hannah's, and Isobel's houses. Each unit on the graph represents 1 block. A coordinate plane graph is shown. Grants house is located at negative 4 comma 3. Hannahs house is located at 1 comma 3. Isobels house is located at 1 comma negative 4. If Grant walks from his house to Isobel's house, then on to Hannah's house along the path shown, how far will he have walked in blocks? Round your answer to the nearest tenth.

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Answers (1)

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Kristina Cole · Answer 1

A^2 + b^2 = c^2

5^2 + 7^2 = c^2

25 + 49 = c^2

74 = c^2

sqrt 74 = c

8.6 = c

so grant's to Isabelle's is 8.6 blocks, then from there to hannah's house, which is 7 blocks ... so he walks a total of 8.6 + 7 = 15.6 blocks