Question

Clark plans to fertilize his yard this summer. His yard is 40 feet wide a 60 feet long. thus included a 4 foot wide and 20 foot long flower bed, which he will not fertilize. A bag of fertilizer costs $8.25 and covers 1,000 square feet. He also hopes to fertilize his neighbors yard the neighbors yard is 50 feet wide and proportional to clarks yard including a 5 foot wide and 30 foot long flower bed that will not be fertilized how long is the neighbors yard? set up a proportion. How many square feet of his own yard will clark fertilize. If clark bought only 3 bags to fertilize both yards how many square feet will remain unfertillized when he runs out

Answer 1

Explanation:

the area of Clark's yard = 60 * 40 = 2400 square feet

the area of the flower bed in his area = 4 * 20 = 80 square feet

the area to be fertilized = 2400 - 80 = 2320 square feet

∵the two yards are proportional

∴
`(L1)/(W1)=(L2)/(W1)` where L1 and W1 are the length and width of clark's yard and L2 and W2 are his neighbor's yard

`(60)/(40) =(L2)/(50)`

L2 = 75 feet

the area of his neighbors yard = 75 * 50 = 3750 square feet

the area of flower bed = 5 * 30 = 150 square feet

area to be fertilized = 3600 square feet

the area that will remain unfertilized = 5920 - 3000 = 2920 square feet

Answer 2

Photo should explain. Let me know if you need help deciphering