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3.14x\left(20^{2}+12^{2}+20\times 12\right)=36926.4
Multiply both sides of the equation by 3.
3.14x\left(400+12^{2}+20\times 12\right)=36926.4
Calculate 20 to the power of 2 and get 400.
3.14x\left(400+144+20\times 12\right)=36926.4
Calculate 12 to the power of 2 and get 144.
3.14x\left(544+20\times 12\right)=36926.4
Add 400 and 144 to get 544.
3.14x\left(544+240\right)=36926.4
Multiply 20 and 12 to get 240.
3.14x\times 784=36926.4
Add 544 and 240 to get 784.
2461.76x=36926.4
Multiply 3.14 and 784 to get 2461.76.
x=\frac{36926.4}{2461.76}
Divide both sides by 2461.76.
x=\frac{3692640}{246176}
Expand \frac{36926.4}{2461.76} by multiplying both numerator and the denominator by 100.
x=15
Divide 3692640 by 246176 to get 15.