Answer:
26 units
Explanation:
A rectangle has vertices A(0, 0), B(0, 9), C(4, 9), and D(4, 0). What is the perimeter of the rectangle
We have to find the length of the sides of the rectangle using the formula below
= √(x2 - x1)² + (y2 - y1)² when given vertices (x1, y1) and (x2, y2)
For side AB
A(0, 0), B(0, 9)
= √(0 - 0)² + (9 - 0)²
= √0 + 81
= √81
= 9 units
For side BC
B(0, 9), C(4, 9)
= √(4 - 0)² + (9 - 9)²
= √4² + 0²
= √16
= 4 units
For side CD
C(4, 9), and D(4, 0)
= √(4 - 4)² + (9 - 0)²
= √0² + 9²
= √81
= 9 units
For side AD
A(0, 0), D(4, 0).
= √(4 - 0)² + (0 - 0)²
= √4² + 0
= √16
= 4 units
We can see than
AB = CD = 9 units
BC = AD = 4 units
The perimeter of a rectangle = 2(L + W)
From the above calculation
Length = 4 units
Width = 9 units
Perimeter = 2(4 + 9) units
= 2 × 13 units
= 26 units