MathDB
2022 A Individual #24

Source:

April 28, 2022
2022 A Individual

Problem Statement

Cows Alpha and Beta are tied by eight-meter ropes, on the midpoints of adjacent sides of a rectangular fence. Both cows are outside the fence; Alpha can wander in a region with an area of 34π34\pi square meters and Beta can wander in a region with an area of 40π40\pi square meters. What is the area enclosed by the rectangular fence?
<spanclass=latexbold>(A)</span>45<spanclass=latexbold>(B)</span>48<spanclass=latexbold>(C)</span>96<spanclass=latexbold>(D)</span>120<spanclass=latexbold>(E)</span>144<span class='latex-bold'>(A) </span>45\qquad<span class='latex-bold'>(B) </span>48\qquad<span class='latex-bold'>(C) </span>96\qquad<span class='latex-bold'>(D) </span>120\qquad<span class='latex-bold'>(E) </span>144