Find the area of the regular polygon.

The area (A) of a regular hexagon in terms of its side length s is

... A = (3√3)/2·s²

For a regular hexagon, its side length is equal to the radius of its circumcircle, given here as 10√3 cm. Putting this value in the formula gives

... A = (3√3)/2·(10√3 cm)² = 450√3 cm²

... A ≈ 779.4 cm² . . . . area of the hexagon

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

answer is 144

step-by-step explanation: