the large rectangle below represents one whole. what percent is represented by the shaded area? %

Answer:

36%

Explanation:

Step1: Count total squares

The large rectangle is divided into $6\times6 = 36$ small squares.

Step2: Count shaded squares

There are $6\times6 - 24= 12$ non - shaded squares, so there are $36 - 12 = 24$ shaded squares.

Step3: Calculate percentage

The percentage of the shaded area is $\frac{24}{6\times6}\times100%=\frac{24}{36}\times100%=\frac{2}{3}\times100%\approx 36%$.