Question

which figure has a greater perimeter?
35 cm 35 cm
8 cm
40 cm
24 cm
32 cm

Explanation:

Step1: Calculate perimeter of first triangle

The first triangle has sides \(35\) cm, \(35\) cm, and \(8\) cm. The perimeter \(P_1\) is the sum of its sides.
\(P_1 = 35 + 35 + 8\)
\(P_1 = 78\) cm

Step2: Calculate perimeter of second triangle

The second triangle has sides \(40\) cm, \(24\) cm, and \(32\) cm. The perimeter \(P_2\) is the sum of its sides.
\(P_2 = 40 + 24 + 32\)
\(P_2 = 96\) cm

Step3: Compare the perimeters

We have \(P_1 = 78\) cm and \(P_2 = 96\) cm. Since \(96>78\), the second triangle (the one with sides 40 cm, 24 cm, 32 cm) has a greater perimeter.

Answer:

The triangle with sides \(40\) cm, \(24\) cm, and \(32\) cm (the right - angled - looking triangle) has a greater perimeter.