MathDB
Midpoint Rectangle

Source: 2022 AMC 8 (Winter) #18

January 25, 2022
AMC 8geometryrectangle2022 AMC 8

Problem Statement

The midpoints of the four sides of a rectangle are (3,0),(2,0),(5,4)(-3, 0), (2, 0), (5, 4) and (0,4)(0, 4). What is the area of the rectangle?
<spanclass=latexbold>(A)</span> 20<spanclass=latexbold>(B)</span> 25<spanclass=latexbold>(C)</span> 40<spanclass=latexbold>(D)</span> 50<spanclass=latexbold>(E)</span> 80<span class='latex-bold'>(A)</span> ~20\qquad<span class='latex-bold'>(B)</span> ~25\qquad<span class='latex-bold'>(C)</span> ~40\qquad<span class='latex-bold'>(D)</span> ~50\qquad<span class='latex-bold'>(E)</span> ~80\qquad