The area of this polygon is 228 square meters What is the length of the side labeled with a question mark
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7

Step-by-step explanation:

Let the unknown length be x

Cut the polygon into 2 pieces

6 * 24 + x * (18 - 6) = 228

144 + 12x = 228

12x = 84

x = 7

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2