Question

A public park is shaped like isosceles trapezoid GHIJ. The merry-go-round is located at point G, the swing set at point H, the fountain at point I and the entrance at point J. Using a tape-measure, you determine that it is 100 feet between the swing set and the fountain; 150 feet between the merry-go-round and the entrance; and 90 feet between the merry-go-round and the swing set. Also, you determine that the distance between the swing set and the merry-go-round is equal to the distance between the fountain and the entrance. how big is the park in square feet????

Answer 1

first we draw the diagram

Answer 2

entire question not written:full question=A public park is shaped like isosceles trapezoid GHIJ. The merry-go-round is located at point G, the swing set at point H, the fountain at point I and the entrance at point J. Using a tape-measure, you determine that it is 100 feet between the swing set and the fountain; 150 feet between the merry-go-round and the entrance; and 90 feet between the merry-go-round and the swing set. Also, you determine that the distance between the swing set and the merry-go-round is equal to the distance between the fountain and the entrance. If you entered the park and walked directly to the swing set, how far have you walked? How big is the park, in square feet?