The diagram shows a map of a park. The park is divided into regions. The number inside each region gives its perimeter, in km. What is the outer perimeter of the park?
A. 22 km B. 26 km C. 28 km D. 32 km E. 34 km
B.
The sum of the perimeters of F, G, H, I and J give the length of the outside line increased by the dotted line. If we subtract the perimeters of K, L and M, then we subtract the dotted line but we have now also subtracted the dashed line. So we add the dashed line to compensate. In other words the required perimeter is (F + G + H + I + J) − (K + L + M) + N. Here it is 42 − 20 + 4, that is 26 km.
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