Answer
$0.164$
Work Step by Step
Step 1. Given $f(x)=x^2+3x+1$, we have $f(0.2)=0.2^2+3(0.2)+1=1.64$ which is the height of the rectangle.
Step 2. The width of the rectangle is $0.3-0.2=0.1$, thus its area is $0.1(1.64)=0.164$
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