# Mathematics - Ratio, Proportion, Measurement

Solve The Following Problems

1. Given that 1 acre equals 43,560 square feet, a rectangular area 1230 feel long by 675 feet wide is how many acres?

2. You plan to treat both sides of a roadway with 35 gallons of herbicide mix per acre. The treatment area is 2.6 miles long and the road shoulders are 35 feet wide. How much herbicide mix will be needed? (Hint: 1 mile equals 5,280 ft)

3. What is the volume of a warehouse space measuring 65 feet long, 40 feet wide and 12 feet high?

4. You need to treat all 18 greens on your gold course with the fungicide NoFung. Each green is basically round with a diameter of 35 feet. The application rate on the label is ½ gallon of finished spray per 1000 ft2. How much finished spray will you need to treat all 18 greens?

5. NoFung comes as a 40% emulsifiable concentrate. The label calls for a 1% finished spray. Using your answer for #4, how much NoFung concentrate will be needed? (Note: the weight of water is 8.34 lbs/gal)

6. You need to mix 50 pounds of a 2% dust. How much 25% dust concentrate will you use?

7. The spray rate is 3 gallons per minute, the spray width is 40 feet, and the sprayer travels 200 feet in 2 minutes. What is the spray rate in gallons per acre?

8. You are fumigating greenhouse benches (elevated flowerbeds). You plan to treat benches in 6 greenhouses. Each greenhouse contains 8 benches that measure 60 feet by 5 feet. The soil in these benches is approximately 10 inches deep. Dosage is ½ pound of fumigate per cubic yard. How much fumigant is needed? (Hint: 1 cubic yard equals 27 cu feet).

9. You are to treat the floor of a room measuring 50 feet long by 25 feet wide for fleas with a residual insecticide. The label calls for an application rate of 1 gallon per 1000 square feet. How much insecticide will you need to mix in order to complete this application with no excess?

10. 300 gallons of a 1% emulsion is desired. The concentrate is 6 lbs per gallon of active ingredient. How much liquid concentrate is required?

#### Solution Summary

A Complete, Neat and Step-by-step Solution is provided in the attached file.