finding length of a rectangle along with its width. Given the area

Question

the legth of a retangle is 5 m loger than twice the length of the width. if the are of the rectangle is 403 square centimeters, what is the width.

Answer 1

w = width

2w + 5 = length

 

w(2w + 5) = 403

2w² + 5w = 403

2w² + 5w - 403 = 0

(w - 13)(2w + 31) = 0

 

{-31/2, 13}           Measurement is only positive

 

The width is 13 and the length is 31.