A rectangle is 6 inches longer than it is wide. Let x = the width, P = the perimeter and A = the area of the rectangle. Write an equation that will give the perimeter P in terms of the width x of the rectangle.

Question

Quizplus · Accepted Answer

The perimeter P is the sum of all sides, which in this case is: 
P = 2(length + width) 
Since we know that the length is 6 inches longer than the width (x), we can write: 
length = x+6 
Now we can substitute this value into our equation for the perimeter: 
P = 2(x+6+x) 
Simplifying: 
P = 2(2x+6) 
P = 4x+12

A Rectangle Is 6 Inches Longer Than It Is Wide