3. Natasha is building a rectangular picture frame for her favorite photo. The coordinates of the vertices of the frame are $$ (0,0),(0,8),(12,8) $$, and $$ (12,0) $$. Each grid square has a length of 3 centimeters. Find the amount of wood, in centimeters, needed for the perimeter. (Example 3 )

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1. The vertices of the frame are given in coordinate units. Since each grid square has a length of 3 centimeters, we need to convert the distances from coordinate units to centimeters.

2. The coordinates show that the rectangle extends from $$x=0$$ to $$x=12$$ and from $$y=0$$ to $$y=8$$. Thus, the width in coordinate units is:
   $$
   12-0=12
   $$
   and the height in coordinate units is:
   $$
   8-0=8.
   $$

3. Converting these dimensions to centimeters:
   $$
   \text{Width} = 12 \times 3 = 36 \text{ cm}
   $$
   $$
   \text{Height} = 8 \times 3 = 24 \text{ cm}.
   $$

4. The perimeter $$P$$ of a rectangle is given by:
   $$
   P = 2(\text{width} + \text{height}).
   $$
   Substituting the dimensions in centimeters:
   $$
   P = 2(36+24)=2(60)=120 \text{ cm}.
   $$

5. Therefore, the amount of wood needed for the perimeter is:
   $$
   120 \text{ centimeters}.
   $$
The perimeter of the frame is 120 centimeters.

3. Natasha is building a rectangular picture frame for her favorite photo. The coordinates of the vertices of the frame are \( (0,0),(0,8),(12,8) \), and \( (12,0) \). Each grid square has a length of 3 centimeters. Find the amount of wood, in centimeters, needed for the perimeter. (Example 3 )

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