which figure has a greater area?

which figure has a greater area?

which figure has a greater area?

Answer

Explanation:

Step1: Calculate parallelogram area

The area formula for a parallelogram is $A = base\times height$. Here, the base is $16$ ft and the height is $29$ ft. So, $A_{parallelogram}=16\times29 = 464$ square - feet.

Step2: Calculate triangle area

The area formula for a triangle is $A=\frac{1}{2}\times base\times height$. Here, the base is $31$ ft and the height is $30$ ft. So, $A_{triangle}=\frac{1}{2}\times31\times30= 465$ square - feet.

Step3: Compare areas

Since $464<465$, the triangle has a greater area.

Answer:

The triangle has a greater area.