college 5 9.4

Question

A college is creating a new rectangular parking lot. The length is
0.19
mile longer than the width and the area of the parking lot is
0.033
square mile. Find the length and width of the parking lot.

Answer 1

0.033 = w(w + 0.19)

0.033 = w² + 0.19w

0 = w² + 0.19w - 0.033

0 = (w + 0.3)(w - 0.11)

 

The width is eleven hundredths of a mile and the length is three tenths of a mile.