what is the length in feet?

Question

The area in square feet of a rectangular field is x squared minus 70 x plus 1000x2−70x+10.The width, in feet, is x minus 20x−20. What is the length, in feet?

Answer 1

Area = x² - 70x + 1000

 

Width = (x - 20)

 

Length = ?

 

A = LW

L = A/W

 

We can factor the area:

The factors of 1000 that add to -70 are (-50)(-20):

x² - 70x + 1000 = (x-50)(x-20)

 

The length is x - 50 feet