Question

which figure has a greater area? 17.1 ft 20 ft 18 ft 10.6 ft

Explanation:

Step1: Calculate triangle area

The formula for the area of a triangle is $A_{triangle}=\frac{1}{2}\times base\times height$. Here, the base is $20$ ft and the height is $17.1$ ft. So $A_{triangle}=\frac{1}{2}\times20\times17.1 = 171$ square - feet.

Step2: Calculate parallelogram area

The formula for the area of a parallelogram is $A_{parallelogram}=base\times height$. Here, the base is $10.6$ ft and the height is $18$ ft. So $A_{parallelogram}=10.6\times18=190.8$ square - feet.

Step3: Compare areas

Since $171<190.8$, the parallelogram has a greater area.

Answer:

The parallelogram has a greater area.