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2 years ago

A regular polygon has a perimeter of 40 cm and a apothem of 6 cm. find the polygons area

Mathematics

1 answer:

Anestetic [448]2 years ago

3 0

Answer:

a = 120 cm²

Step-by-step explanation:

n = number of sides

edge length

40/n

divide the polygon into n congruent triangles

a = (1/2)(edge * apothem) * number of triangles

a = (1/2)(40/n)(6) * n

n cancels out

a = (1/2)(40)(6)

a = 120 cm²

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$\boxed{\underline{\tt{\red{\:(perimeter_{rectang}\:=\:2\times (Length+Width)}}}}$

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