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Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(5,1),B(7,1),C(7,6), and D(5,6). What is the perimeter of rectangle ABCD ? ◻ units

Rectangle ABCD A B C D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(5,1),B(7,1),C(7,6) A(5,1), B(7,1), C(7,6) , and D(5,6) D(5,6) .\newlineWhat is the perimeter of rectangle ABCD A B C D ? □ \square \newlineunits

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Full solution

Q. Rectangle ABCD A B C D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(5,1),B(7,1),C(7,6) A(5,1), B(7,1), C(7,6) , and D(5,6) D(5,6) .\newlineWhat is the perimeter of rectangle ABCD A B C D ? □ \square \newlineunits
  1. Find Side Length: First, find the length of one side. Side ABAB: Distance between A(5,1)A(5,1) and B(7,1)B(7,1). AB=∣7−5∣=2AB = |7 - 5| = 2 units.
  2. Calculate Perimeter: Next, find the length of the other side. Side AD: Distance between A(5,1) A(5,1) and D(5,6) D(5,6) . AD=∣6−1∣=5 AD = |6 - 1| = 5 units.
  3. Final Result: Now, calculate the perimeter of the rectangle. Perimeter = 2imes(AB+AD)=2imes(2+5)=2imes7=142 imes (AB + AD) = 2 imes (2 + 5) = 2 imes 7 = 14 units.

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