Question

What is the perimeter of DEFG if D is located (1,2), E is located (2,6), F is located (6,7), G is located (5,3)?

Answer 1

B.

Explanation:

First find the lengths of the DE and DG

DG=

`\sqrt{(5 - 1) {}^(2) + (3 - 2) {}^(2) } \\ \sqrt{4 {}^(2) + 1 {}^(2) } \\ \\ √(16 + 1) \\ √(17)`

DE=

`\sqrt{(2 - 1) ^(2) + (6 - 2) {}^(2) } \\ \sqrt{1 {}^(2) + 4 {}^(2) } \\`

`√(17)`

Since both lengths are same that's means all the lengths are same. To find perimeter we need to add all the sides

`\sqrt{} 17 + \sqrt{} 17 + \sqrt{} 17 + \sqrt 17 \\ 4 √(17)`