Question

Hello all!

Answer 1

Answer:

A. Pentagon with side of 4 ft

Area of a polygon formula:

• A= (1/4) × n × s² × cot(π/n), where n-number of sides, s-side length

Applied to our pentagon:

• A = (1/4)×5×4²×cot(π/5) ≈ 27.5 ft²

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B. Octagon with apothem of 5 cm

Area of polygon:

• A = n × a² × tan(π/n), where n-number of sides, a- apothem

Applied to our octagon:

• A = 8×5²×tan(π/8) ≈ 82.8 cm²