Answer
$\approx 22 J$
Work Step by Step
The work done in moving the object is given by:
$W=\int_c F \cdot T ds \approx \Sigma_{i=1}^{7} F(x_i,y_i) \cdot (x_i,y_i)]ds=(2+2+2+2+1+1+1) \cdot 2 \approx 22 J$
Hence, we approximate $22 J$ of work is needed.
