Answer:
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Answer:

Step-by-step explanation:
To calculate an area of a rectangle, use the formula A=l*w. We know the width is 7m greater than the length. So w = 7 + x. So the area is A= (7+x)*x.
We also know the area is 170. Substitute this value for A and solve.
S = 2 (lw + lh + hw)
S = 2 ((8.5)(11) + (8.5)(2) + (11)(2))
S = 2 (93.5 + 17 + 22)
S = 2 (132.5)
S = 265 sq in
This is the derivative of S with respect to r, evaluated at r=8.
dS/dr = 8πr
Substituting r=8 into the above gives the answer of 64π.
This follows from the half-angle identity for cosine.