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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To find the perimeter of Natasha's rectangular picture frame, we first determine the lengths of the sides. The length of the frame is 12 cm and the height is 8 cm. The perimeter \( P \) can be calculated using the formula \( P = 2 \times (\text{length} + \text{height}) \). Substituting the values, we get \( P = 2 \times (12 + 8) = 2 \times 20 = 40 \) cm. Thus, Natasha will need 40 centimeters of wood for the perimeter of the frame. Also, don't forget that each grid square equals 3 cm! This means Natasha's frame sits on a grid where each side is represented by 4 squares in length (12 cm) and 2 squares in height (8 cm). It’s like crafting a mini masterpiece on a larger scale – who knew measuring could be this much fun?