Question

which figure has a greater perimeter

Explanation:

Step1: Calculate the perimeter of the red triangle

The perimeter of a triangle is the sum of its side lengths. For the red triangle with side lengths \(80\) in, \(48\) in, and \(64\) in, the perimeter \(P_{1}=80 + 48+64=192\) in.

Step2: Calculate the perimeter of the green triangle

For the green equilateral triangle (all sides equal, \(a = 58\) in), the perimeter formula is \(P_{2}=3a\). So \(P_{2}=3\times58 = 174\) in.

Step3: Compare the perimeters

Since \(192>174\), the red - colored triangle has a greater perimeter.

Answer:

The red triangle has a greater perimeter.