Question

which figure has a greater area? 100 ft 92 ft 73 ft 51 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 $92$ ft and the height is $100$ ft. So $A_{triangle}=\frac{1}{2}\times92\times100 = 4600$ square - feet.

Step2: Calculate parallelogram area

The formula for the area of a parallelogram is $A_{parallelogram}=base\times height$. Here, the base is $51$ ft and the height is $73$ ft. So $A_{parallelogram}=51\times73 = 3723$ square - feet.

Step3: Compare areas

Since $4600>3723$, the triangle has a greater area.

Answer:

The triangle has a greater area.