Question

which figure has a greater area? 92 in 50 in 38.6 in 71.1 in

Explanation:

Step1: Calculate triangle area

The area formula for a triangle is $A_{triangle}=\frac{1}{2}\times base\times height$. Here, the base is 50 in and the height is 92 in. So $A_{triangle}=\frac{1}{2}\times50\times92 = 2300$ square - inches.

Step2: Calculate parallelogram area

The area formula for a parallelogram is $A_{parallelogram}=base\times height$. Here, the base is 71.1 in and the height is 38.6 in. So $A_{parallelogram}=71.1\times38.6=2744.46$ square - inches.

Step3: Compare areas

Since $2744.46>2300$, the parallelogram has a greater area.

Answer:

The parallelogram has a greater area.