Subjects geometry

Rectangle Perimeter 897B92

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Rectangle Perimeter 897B92


1. **State the problem:** We need to find the perimeter of the shaded rectangle on the grid with vertices at points (2,0), (4,0), (4,1), and (2,1). 2. **Recall the formula for the perimeter of a rectangle:** $$\text{Perimeter} = 2 \times (\text{length} + \text{width})$$ 3. **Find the length and width:** - Length is the horizontal distance between (2,0) and (4,0): $$4 - 2 = 2$$ units. - Width is the vertical distance between (2,0) and (2,1): $$1 - 0 = 1$$ unit. 4. **Calculate the perimeter:** $$\text{Perimeter} = 2 \times (2 + 1) = 2 \times 3 = 6$$ units. 5. **Answer:** The perimeter of the shaded rectangle is **6 units**.