The sides of two similar hexagons are in the ratio 7 : 4. If the area of the smaller hexagon is 368 ft2, what is the area of the larger hexagon?

The area of the larger hexagon is 1126.74 ft²

Explanation:

Given:

Ratio of sides of two hexagons = 7 : 4

Area of the smaller hexagon = 368 ft²

Area of the larger hexagon = ?

We know:

Area of hexagon =

where,

a = side of the hexagon

According to the question:

Therefore, the side of smaller hexagon is 11.9

So,

Therefore, the length of larger hexagon is 20.825

Area of larger hexagon =

                                       =

                                       = 1126.74 ft²

Therefore, the area of the larger hexagon is 1126.74 ft²

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