Asmall blue goat is tethered to the outside of a large square brown barn with 100 foot sides and all doors closed. the tether is 250 feet long and attaches the goat to one corner of the barn. the barn is located in the center of a large meadow. how many square feet of meadow are accessible to the goat? you may neglect the length of the goat.

solution:

Let   = the area of a 250’ radius circle

Let   = the area of a 150’ radius circle

Let   = the area of a 50’ radius circle

Drawing the picture, I come up with:

Area goat has = (¾).a + (¼).b + (¼).c + (¼).b - (½).c

Area goat has = (¾).a + (½).b - (¼).c

You can finish using A = π .  r2

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.