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? \
(1) remove the shading from 1 small square. \
(2) remove the shading from 2 small squares. \
(3) shade 1 more small square. \
(4) shade 2 more small squares.

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

Count the blue squares: $10$

Step3: Find target shaded squares

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

Step4: Calculate required change

Current shaded: $10$, target: $8$. Need to remove shading from $10 - 8 = 2$ squares.

Answer:

Remove the shading from 2 small squares.