Question

On a certain farm, individual crops are laid out in rectangles that are 6 feet north and south and 40 feet east and west. How far would you have to walk to get from the shed (S) to the well (W) if you did not step on any crops? How far would it be if you walked diagonally across the crops?

a. 240 feet about 170 feet
b. 170 feet about 240 feet
c. 260 feet about 197 feet
d. 197 feet about 260 feet

Answer 1

To get from the shed to the well without stepping on any crops, you would have to walk a distance of 92 feet. If you walked diagonally across the crops, the distance would be approximately 40.45 feet. Therefore, none of the answer choices provided are correct.

Step-by-step explanation:

To find the distance you would have to walk to get from the shed (S) to the well (W) without stepping on any crops, we can add the lengths of the sides of the rectangles that make up the farm.

Each rectangle has a side that is 6 feet long north and south, and a side that is 40 feet long east and west.

So the total distance would be:

(6 feet * 2 sides) + (40 feet * 2 sides)

= 12 feet + 80 feet

= 92 feet

To find the distance if you walked diagonally across the crops, we can use the Pythagorean theorem. The diagonal distance would be the hypotenuse of a right triangle with sides of length 6 feet and 40 feet:

Distance = sqrt((6 feet)^2 + (40 feet)^2)

= sqrt(36 + 1600)

= sqrt(1636)

≈ 40.45 feet

Hence, the distance would be approximately 40.45 feet. Therefore, none of the answer choices provided are correct.