What is the perimeter of a rectangle whose vertices are (2,7) (8,7) (211) (8,11)?

Mathematics

1 answer:

RoseWind [281]2 years ago

5 0

Answer:

e) 20

Step-by-step explanation:

Segment lengths:

|(2, 7) -> (8, 7)| = |(8-2, 7-7)| = |(6, 0)| = 6

|(8, 7) -? (8, 11)| = |(8-8, 11-7)| = |(0, 4)| = 4

because we know it's a rectangle, we can infer that the other two sides also have lengths 4 and 6, so the perimeter is 4+4+6+6=20

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The triangles PTQ and RTS are similar; so the ratios of corresponding sides are equal.

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