Wow...we have lots of numbers to go through. we know that a 6 sided figure is a hexagon and the interior angles add up to be 720°. so.....
∠A + ∠B + ∠ C + ∠D + ∠E + ∠F = 720°
(x - 60) + (x - 40) + 130 + 120 + 110 + (x - 20) = 720
3x + 240 = 720 (combined all like terms)
3x = 480 (subtracted 240 from both sides)
x = 160 (divided both sides by 3)
put the value of x into ∠A (x - 60) = 160 - 60 = 100
∠A = 100°
Your answer is 4x^2+7x-10
Area of the rectangle: 14.5 x 22 = 319 square meters.
Area the goat can reach ( area of a circle): 3.14 x 2.5^2 = 19.625 square meters.
Now subtract the area of the circle from the area of the rectangle:
319 - 19.625 = 299.375 square meters. (Round the answer as needed.)
