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? blank units

Explanation:

Step1: Find length of AB

Points A(5,1) and B(7,1) have same y - coordinate. So length \( AB=\vert7 - 5\vert= 2\) units.

Step2: Find length of BC

Points B(7,1) and C(7,6) have same x - coordinate. So length \( BC=\vert6 - 1\vert = 5\) units.

Step3: Calculate perimeter of rectangle

Perimeter of rectangle \( P = 2\times(AB + BC)\). Substitute \( AB = 2\) and \( BC=5\) into formula: \( P=2\times(2 + 5)=2\times7 = 14\) units.

Answer:

14