Question

which figure has a greater area? 6 in 10 in 5 in 5 in

Explanation:

Step1: Calculate triangle area

Use formula $A_{triangle}=\frac{1}{2}\times base\times height$. Here, base = 10 in and height = 6 in. So $A_{triangle}=\frac{1}{2}\times10\times6 = 30$ square - inches.

Step2: Calculate square area

Use formula $A_{square}=side\times side$. Here, side = 5 in. So $A_{square}=5\times5 = 25$ square - inches.

Step3: Compare areas

Since $30>25$, the triangle has a greater area.

Answer:

The triangle