Question: A regular hexagon has an apothem of 5 cm and a side length of 6 cm. What is the area of the hexagon?
(A) 90 cm²
(B) 144 cm²
(C) 180 cm²
(D) 216 cm²
Solution:
Use the area formula for a regular hexagon:
A = 1⁄2 × Perimeter × Apothem
Calculate the perimeter:
Perimeter=6×Side length
Perimeter=6×6=36 cm
Calculate the area:
A = 1⁄2 ×36×5
A=18×5
A=90 cm²
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