Sprinklers are being installed to water a lawn. Each sprinkler waters

If we want to water the lawn completely, then any point on the lawn should be reached by at least one sprinkler.

1) We know that the lawn is rectangular with area 32, but no information is given about the radii of the circles that can be watered by the four sprinklers. Thus, we can't get a definite answer to the original question. \(\implies\) Insufficient

2) We know the radii of the circles that can be watered by the four sprinklers, but no information is given about the dimensions of the lawn to be watered. Thus, we can't get a definite answer to the original question. \(\implies\) Insufficient

1&2) If the rectangular lawn has length 64 and width 0.5, then it is too long to be watered completely by the four sprinklers because each is capable of watering only a circular area with diameter 4.

Let's try to find a different answer. What's the greatest rectangular area that one such sprinkler can completely water on its own? In any circle, the square is the inscribed rectangle with the greatest possible area. Since the diagonal of an inscribed square is also a diameter of the circle, the area in question is \(4^2/2=8\).

Four of these identical square areas can make a big rectangular area \(4\cdot 8=32\), so there's a case in which the lawn can be watered completely by the four sprinklers.

Thus, we can't get a definite answer to the original question. \(\implies\) Insufficient

Answer: E