Question

which figure has a greater area? 25.6 in 44.2 in 24 in 19.9 in

Explanation:

Step1: Calculate area of triangle

The formula for the area of a triangle is $A_{triangle}=\frac{1}{2}\times base\times height$. Here, the base is $44.2$ in and the height is $25.6$ in. So $A_{triangle}=\frac{1}{2}\times44.2\times25.6 = 44.2\times12.8=565.76$ square - inches.

Step2: Calculate area of parallelogram

The formula for the area of a parallelogram is $A_{parallelogram}=base\times height$. Here, the base is $19.9$ in and the height is $24$ in. So $A_{parallelogram}=19.9\times24 = 477.6$ square - inches.

Step3: Compare the areas

Since $565.76>477.6$, the triangle has a greater area.

Answer:

The triangle has a greater area.