Question

geoff is decorating the side of a pencil case, which is in the shape of a right triangle from above, with colorful tape. the first side of the pencil case is 11 inches long and forms a right angle with the second side of the case, which is 9 inches long. how many inches of tape does geoff need to complete one round of decoration around the cases side? round to the nearest hundredth.
show your work here
hint: to add the square root symbol (√, type
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Explanation:

Step1: Find the hypotenuse using Pythagorean theorem

$$c=\sqrt{a^{2}+b^{2}}=\sqrt{11^{2}+9^{2}}=\sqrt{121 + 81}=\sqrt{202}$$

Step2: Calculate the perimeter

Perimeter \(P=a + b + c=11+9+\sqrt{202}=20+\sqrt{202}\approx20 + 14.21=34.21\)

Answer:

\(34.21\)