A farmer has a square lot that is 200 feet on each side. She has a very powerful sprinkler that sprays water in a circle she doesn’t want to waste any water, so she’ll set her sprinkler so that it doesn’t spray any water outside of her lot. What is the largest percentage of her lot that she can water? (Answer to the nearest percent)

78.5%

Step-by-step explanation:

Area of a 100ft radius circle = 628sqm

Area of rectangle = 800sqm

= 172sqm difference in size

if 800 sqm = 100%

Then 600 sqm = 3/4 = 75%

60sqm =3/40 = 7.5%

6sq m =3/400 =0.75%

2 sq m = 0.25%

30sqm = 1/2 of 7.5%= 3.75

3.75-0.25 = 3.50%

3.50% + 75 = 78.5%

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet