What is the perimeter of a quadrilateral with vertices at (1, 1), (1, 4), (5, 4)
Practice Questions
Q1
What is the perimeter of a quadrilateral with vertices at (1, 1), (1, 4), (5, 4), and (5, 1)?
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Questions & Step-by-Step Solutions
What is the perimeter of a quadrilateral with vertices at (1, 1), (1, 4), (5, 4), and (5, 1)?
Step 1: Identify the vertices of the quadrilateral. The vertices are (1, 1), (1, 4), (5, 4), and (5, 1).
Step 2: Determine the lengths of the sides of the quadrilateral. The sides are between the points: (1, 1) to (1, 4), (1, 4) to (5, 4), (5, 4) to (5, 1), and (5, 1) to (1, 1).
Step 3: Calculate the length of the vertical side from (1, 1) to (1, 4). This is 4 - 1 = 3.
Step 4: Calculate the length of the horizontal side from (1, 4) to (5, 4). This is 5 - 1 = 4.
Step 5: The opposite vertical side from (5, 4) to (5, 1) is also 3 (same as the first vertical side).
Step 6: The opposite horizontal side from (5, 1) to (1, 1) is also 4 (same as the first horizontal side).
Step 7: Now, add the lengths of all sides: 3 + 4 + 3 + 4.
Step 8: Calculate the total: 3 + 4 = 7, and then 7 + 3 = 10, and finally 10 + 4 = 14.
