Question

which figure has a greater perimeter? 5 cm 12 cm 12 cm 9 cm 11 cm 12 cm 12 cm 11 cm

Explanation:

Step1: Calculate trapezoid perimeter

$P_1=5 + 12+12 + 9$

Step2: Simplify trapezoid perimeter

$P_1=38$ cm

Step3: Calculate parallelogram perimeter

$P_2=2\times(11 + 12)$

Step4: Simplify parallelogram perimeter

$P_2=2\times23=46$ cm

Step5: Compare perimeters

Since $46>38$

Answer:

The parallelogram has a greater perimeter.