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# Lin and Andre used different methods to find the area of a regular hexagon with 6-inch sides. Lin decomposed the hexagon into six

Question

Lin and Andre used different methods to find the area of a regular hexagon with 6-inch sides. Lin decomposed the hexagon into six identical triangles. Andre decomposed the hexagon into a rectangle and two triangles.

Find the area of the hexagon using each person’s method. Show your reasoning.

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Math Middle School
3 weeks
2023-01-14T21:59:09+00:00
2023-01-14T21:59:09+00:00 2 Answers
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## Answers ( 2 )

Answer:Step-by-step explanation………………………………………Divide the hexagon in identical triangles.Triangle area = length × width / 26 × 6 = 3636/2= 18areaof aregular hexagonis 85.28 square inches.## What is the area of a regular hexagon?

formulafor theareaof aregular hexagonis (3√3 s²)/2, where ‘s’ is thelengthof thesideof thehexagon. Since we are talking about a regular hexagon, it should be noted that all sides are of equal length. When one side of the regular hexagon is known, the area can be calculated with the formula,Areaof thehexagon=(3√3 s²)/2, where ‘s’ is the length of the side of the hexagon.equilateral triangle=√3/2 × a².Areaof therectangle= length × width = 10.4 × 6 = 62.4 square inchesAreaof atriangle= 1/2 × Base × Height = 1/2 × 10.4 × 2.2 = 11.44 square inchesareaof aregular hexagonis 85.28 square inches.area of a regular hexagonvisit: