Question

which figure has a greater area? 10 yd 10 yd 7 yd 7 yd

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, base = 10 yd and height = 10 yd. So $A_{triangle}=\frac{1}{2}\times10\times10 = 50$ square - yards.

Step2: Calculate area of square

The formula for the area of a square is $A_{square}=side\times side$. Here, side = 7 yd. So $A_{square}=7\times7=49$ square - yards.

Step3: Compare areas

Since $50>49$, the triangle has a greater area.

Answer:

The triangle has a greater area.