Problema Solution
Translate the following problem into a quadratic​ equation, then solve it using the quadratic formula.
The length of a rectangular air filter is 9 inches less than twice the width. Find the length and width of the filter if the area is 425 square inches.
Answer provided by our tutors
Let
x = the width, x>0
2x - 9 = the length
A = 425 it^2 is the area
Since A = width*length we have:
x(2x - 9) = 425
........
click here to see the quadratic equation solved for x
........
x = 17 in
2*17 - 9 = 34 - 9 = 25 in
The length is 25 inches while the width is 17 inches.