2 years ago

Find the area of the regular polygon

Mathematics

1 answer:

Vikki [24]2 years ago

6 0

Answer:

162m²

Step-by-step explanation:

distance from corner to center = 1/2 of the diagonal

all sides are equal, and this has 4 sides, so it is a square

9m = 1/2 of diagonal

multiply both sides by 2 to isolate the diagonal

18m = diagonal

area of square = length²

length * √2 = diagonal

given the diagonal, we can find the length and then the area

length * √2 = diagonal

divide both sides by √2 to find the length

18m/√2 = length ≈12.7

square the length to find the area

area = 162 m²

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