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Answer:
D. both B and C
Step-by-step explanation:
The radius of the pond and border is (x+1). Then the diameter of the pond and border is 2(x+1) = 2x+2. The width of the square yard is 6 more, so is (2x +2) +6. = 2x +8.
The area of the yard is the square of the width: (2x +8)^2, and the area of the pond is pi times the square of its radius: π(x +1)^2.
The non-pond area of the yard is the difference of these:
non-pond area = (2x +8)^2 -π(x +1)^2
= (4x^2 +32x +64) -π(x^2 +2x +1) . . . . . . matches B
= (4 -π)x^2 +(32 -2π)x +(64 -π) . . . . . . . . matches C
