Question

1. what is the perimeter of the rectangle with the vertices shown below? (6.g.3)

a(4, 7), b(4, 15), c(9, 15), d(9,7)
a. 8 units c. 26 units
b. 13 units d. 70 units

Explanation:

Step1: Find length of AB

Points A(4,7) and B(4,15) have same x - coordinate. So length \( AB=\vert15 - 7\vert= 8\) units.

Step2: Find length of BC

Points B(4,15) and C(9,15) have same y - coordinate. So length \( BC=\vert9 - 4\vert = 5\) units.

Step3: Calculate perimeter of rectangle

Perimeter of rectangle \( P = 2\times( length+width)=2\times(AB + BC)\)
Substitute \( AB = 8\) and \( BC=5\) into the formula: \( P=2\times(8 + 5)=2\times13 = 26\) units.

Answer:

C. 26 units