Question

which figure has a greater area? 11 in 14 in 6.5 in 10.4 in

Explanation:

Step1: Calculate triangle area

Use formula $A_{triangle}=\frac{1}{2}\times base\times height$. Here base = 14 in and height = 11 in. So $A_{triangle}=\frac{1}{2}\times14\times11 = 7\times11=77$ square - inches.

Step2: Calculate rectangle area

Use formula $A_{rectangle}=length\times width$. Here length = 10.4 in and width = 6.5 in. So $A_{rectangle}=10.4\times6.5 = 67.6$ square - inches.

Step3: Compare areas

Since $77>67.6$, the triangle has a greater area.

Answer:

The triangle has a greater area.