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John constructed a fence around his house as shown in the figure. The length of the fencing was 50 feet and width was 35 feet. On the front side of the house, he left a 6 feet space for entrance. What was the total length of the fence?

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180 ft

164 ft

175 ft

170 ft

answer is A.

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Detailed Solution

Length of the fence = 50 feet

Width of the fence = 35 feet

Therefore, perimeter of the fence = 2 (50 + 35)

= 2 × 85 = 170 feet

Space left for entrance = 6 feet

Therefore, total length of the fence

= perimeter of the fence − space left for entrance

= (170 − 6) = 164 feet

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