Determine the perimeter of the following rectangle given the information below.

Question

the area equals 16x+20 and the width is 4x +5.

Answer 1

Perimeter is the sum of twice the length and twice the length.  Area is length times width.

 

 

First, find the length using the area.

 

 

Area = length * width

 

16x + 20 = (4x + 5) * length

 

(16x + 20) / (4x + 5) = length

 

 

We can easily factor out the area expression instead of using long division.

 

[4(4x + 5)] / (4x + 5) = length

 

 

The (4x + 5) cancel each other out.

 

4 = length

 

 

Perimeter = 2(length) + 2(width)

 

Perimeter = 2(length + width)

 

Perimeter = 2(4 + 4x + 5)

 

 

Continue from here.