Question

which figure has a greater area? 16.3 mm 16.3 mm 16.6 mm 15.6 mm

Explanation:

Step1: Calculate area of square

The area formula for a square is $A = s^2$, where $s$ is the side - length. For the square with $s = 16.3$ mm, $A_{square}=16.3\times16.3 = 265.69$ $mm^{2}$.

Step2: Calculate area of parallelogram

The area formula for a parallelogram is $A = b\times h$, where $b$ is the base and $h$ is the height. For the parallelogram with $b = 15.6$ mm and $h = 16.6$ mm, $A_{parallelogram}=15.6\times16.6=258.96$ $mm^{2}$.

Step3: Compare the areas

Since $265.69>258.96$, the square has a greater area.

Answer:

The square has a greater area.