Question

marley used a grid to make the design shown. how can she change the design so that \\(\frac{1}{2}\\) of the grid is shaded? \\(\blacktriangleleft\\) remove the shading from 1 small square. \\(\blacktriangleleft\\) remove the shading from 2 small squares. \\(\blacktriangleleft\\) shade 1 more small square. \\(\blacktriangleleft\\) shade 2 more small squares. key idea \\(\blacktriangleleft\\) \\(\frac{1}{2}\\) of a shape is shown when the shaded area is equal to the unshaded area.

Explanation:

Step1: Count total grid squares

The grid is a $4 \times 4$ grid, so total squares: $4 \times 4 = 16$

Step2: Count current shaded squares

Counting shaded squares: $10$

Step3: Find target shaded squares

We need $\frac{1}{2}$ of 16 shaded: $\frac{1}{2} \times 16 = 8$

Step4: Calculate required change

Current shaded (10) minus target (8) = 2. So we need to remove shading from 2 small squares.

Answer:

Remove the shading from 2 small squares.