Question

Suppose a2 + 4a + 3 represents the area of a rectangle. What is the perimeter of that rectangle? A) 2a + 4 B) 4a + 8 C) 6a + 12 D) 8a + 16

Answer 1

A² + 4a + 3
(a+3)(a+1)         This is the length and the width of the rectangle.

Perimeter = length + length + width + width
P = (a+3) + (a+3) + (a+1) + (a+1)
P = a + a + a + a + 3 + 3 + 1 + 1
P = 4a + 6 + 2
P = 4a + 8

B) 4a + 8