A billboard is 2.5 times as long as it is wide. The area of the billboard is 2,250 ft. A scale drawing is made of the billboard, and the area of the scale drawing is 160 in. What is the scale used in the scale drawing? (Explain)

Width = w

Length = 2.5w

Area of Rectangle: Width * Length

w (2.5w) = 2250

2.5w^2 = 2250

w^2 = 2250/2.5 = 900

w = Sq rt of 900 = 30

l = 75

Ratio of inches to ft

x/30 = 160/2250

cross multiply: 2250x = 160 * 30

2250x = 4800

x = 4800/2250 = 2.13333 ...

length

x/75=160/2250

2250x = 75 (160)

2250x = 12,000

x = 12,000/2250

x = 5.3333 ...

scale is 2.13" * 5.33"