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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 )

Ask by Lambert Reid. in the United States
Mar 11,2025

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The perimeter of the frame is 120 centimeters.

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Bonus Knowledge

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?

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