Geometric or real-world application leading to a quadratic equation
The question describes a geometric figure, physical scenario, or word problem whose setup yields a quadratic equation to solve for a measurement such as length, area, or perimeter.
Uncle Ahmet has a rectangular field with side lengths $x + 20$ and $2x + 30$ meters. He grows sunflowers in a square-shaped part with side length $x$ meters as shown in the figure. If the area of the remaining part of the field is 1400 square meters, what is the perimeter of the entire field in meters? A) 148 B) 154 C) 160 D) 166 E) 172