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Solve the Problem x\mathrm{x} Yards Wide And yy Yards Long (See Figure) A\mathrm{A}

Question 320

Multiple Choice

Solve the problem.
-An oval running track encircles a soccer field that is x\mathrm{x} yards wide and yy yards long (see figure) . The area A\mathrm{A} of the region enclosed by the track can be calculated using the equation A=xy+π(x2) 2\mathrm{A}=\mathrm{xy}+\pi\left(\frac{\mathrm{x}}{2}\right) ^{2} . Calculate the area if x=84yd\mathrm{x}=84 \mathrm{yd} and y=108yd\mathrm{y}=108 \mathrm{yd} . Use the approximation π3.14\pi \approx 3.14 .
 Solve the problem. -An oval running track encircles a soccer field that is  \mathrm{x}  yards wide and  y  yards long (see figure) . The area  \mathrm{A}  of the region enclosed by the track can be calculated using the equation  \mathrm{A}=\mathrm{xy}+\pi\left(\frac{\mathrm{x}}{2}\right) ^{2} . Calculate the area if  \mathrm{x}=84 \mathrm{yd}  and  \mathrm{y}=108 \mathrm{yd} . Use the approximation  \pi \approx 3.14 .   A)   9204 \mathrm{yd}^{2}  B)   34,025 \mathrm{yd}^{2}  C)   14,611 \mathrm{yd}^{2}  D)   31,228 \mathrm{yd}^{2}


A) 9204yd29204 \mathrm{yd}^{2}
B) 34,025yd234,025 \mathrm{yd}^{2}
C) 14,611yd214,611 \mathrm{yd}^{2}
D) 31,228yd231,228 \mathrm{yd}^{2}

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