Question

river is designing a pen for a cow in the shape of a right triangle. because of space limitation on the farm, the first side of the pen should measure 14 feet and form a right angle with the second side, which should be 10 feet long. how many feet of fencing does river need to make the whole pen? round to the nearest tenth.
show your work here
hint: to add the square root symbol (√), type
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Explanation:

Step1: Find the hypotenuse

Use the Pythagorean theorem \(c = \sqrt{a^{2}+b^{2}}\), where \(a = 14\) and \(b = 10\).
\(c=\sqrt{14^{2}+10^{2}}=\sqrt{196 + 100}=\sqrt{296}\approx17.2\)

Step2: Calculate the perimeter

The perimeter \(P=a + b + c\).
\(P=14+10 + 17.2=41.2\)

Answer:

\(41.2\)