A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide. The carpenter sketches a drawing of the tabletop on a coordinate plane. The center of the tabletop is at the origin, the length falls along the x-axis, and the width falls along the y-axis. Which equation represents the tabletop?
Answer
A
StartFraction x squared Over 49 EndFraction + StartFraction y squared Over 16 EndFraction = 1
B
StartFraction y squared Over 49 EndFraction + StartFraction x squared Over 16 EndFraction = 1
C
StartFraction x squared Over 12.25 EndFraction + StartFraction y squared Over 4 EndFraction = 1
D
StartFraction y squared Over 12.25 EndFraction + StartFraction x squared Over 4 EndFraction = 1