Question

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? \boxed{} units

Explanation:

Step1: Find length of AB

Points A(5,1) and B(7,1). Since y - coordinates are same, length \( AB = |7 - 5| = 2 \).

Step2: Find length of BC

Points B(7,1) and C(7,6). Since x - coordinates are same, length \( BC = |6 - 1| = 5 \).

Step3: Use perimeter formula for rectangle

Perimeter of rectangle \( P = 2\times (length + width) \). Here, length = 5, width = 2. So \( P = 2\times(2 + 5)= 2\times7 = 14 \).

Answer:

14