A protected wilderness area in the shape of a rectangle is 3 kilometers long and 3.2 kilometers wide. The forest is to be surrounded by a hiking trail that will cost $11 comma 000 per mile to construct. What will it cost to install the trail? Note that 1 mile (mi) almost equals1.6 kilometers (km).

Question

Rylan Pennington

Mathematics

7 April, 00:03

A protected wilderness area in the shape of a rectangle is 3 kilometers long and 3.2 kilometers wide. The forest is to be surrounded by a hiking trail that will cost $11 comma 000 per mile to construct. What will it cost to install the trail? Note that 1 mile (mi) almost equals1.6 kilometers (km).

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Answers (1)

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Zion Garcia · Answer 1

Answer: $66

Step-by-step explanation:

Area of a rectangular = length*breadth

= 3.2 km * 3.0 km = 9.6km (squared)

Note, 1.6km = 1 mile

Cost of a hiking trail = $11 per mile

Converting kilometer to kill = 9.6km/1.6km = 6 miles

Hence, cost of a hiking trail to surround the rectangular shaped wilderness = $11 * 6 = $66

In case the cost is $11,000 per mile; total cost of hiking trails to surround the wilderness equals $66,000