Question

place the correct value to complete the sentence. linda built a fence around her garden. her garden is shaped like a right triangle with the smaller side lengths equal to 54 inches and 72 inches. the amount of fencing needed for her garden is \boxed{} inches. 90 126 216 1084 1944

Explanation:

Step1: Find the hypotenuse

For a right triangle, use Pythagorean theorem: \( c = \sqrt{a^2 + b^2} \), where \( a = 54 \), \( b = 72 \).
\( c = \sqrt{54^2 + 72^2} = \sqrt{2916 + 5184} = \sqrt{8100} = 90 \).

Step2: Calculate perimeter

Perimeter \( P = a + b + c = 54 + 72 + 90 = 216 \).

Answer:

216