Question

which figure has a greater perimeter?
97 cm, 97 cm, 97 cm (triangle); 48 cm, 92 cm, 92 cm, 48 cm (parallelogram)

Explanation:

Step1: Calculate perimeter of triangle

A triangle with all sides 97 cm. Perimeter = sum of all sides. So, \( 97 + 97 + 97 = 97\times3 = 291 \) cm.

Step2: Calculate perimeter of parallelogram

A parallelogram has opposite sides equal. Sides are 92 cm and 48 cm. Perimeter = \( 2\times(92 + 48) = 2\times140 = 280 \) cm.

Step3: Compare perimeters

291 cm (triangle) vs 280 cm (parallelogram). So triangle has greater perimeter.

Answer:

The green triangle (with all sides 97 cm) has a greater perimeter.