The total area of the frame is therefore 2(4x) + 2(4)(x-8) = 8x + 8x - 64 = 16x - 64
Here you're being asked to find the "perimeter" of the space, even tho' the problem doesn't specifically ask for it.
The formula for P is P = 2W + 2L.
Here the width, W, is 3 1/2 yds, and the length, L, is 4 2/3 yds. Subbing these two values into the formula for P (above) results in:
P = 2(3 1/2 yds) + 2(4 2/3 yds)
= 7 yds + 9 1/3 yds = 16 1/3 yds, total.
Answer: option A) 1/3
Justification:
1) The probability that a point chosen at random <span>in the regular hexagon lies in the shaded region is equal to:
area of the shaded region
---------------------------------------
area of the hexagon
2) The hexagon is formed by 6 equal triangles and the shaded area is formed by 2 of those triangles.
3) Therefor,naming x the area of one triangle, the the above fraction is equal to:
area of two triangles 2x
------------------------------- = -------- = 2/6 = 1/3
area of six triangles 6x
And that is the answer: 1/3
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I hope you're looking for the customer's per day because if you are the answer is 12.
