Question

A five sided park is placed on the grid with four of its corners have coordinates (1,5), (5,5) ,(1,9) and (5,9). What could be the coordinates of the fifth corner if the park is to have an area of 20?

Answer 1

Hello there.

A five sided park is placed on the grid with four of its corners have coordinates (1,5), (5,5) ,(1,9) and (5,9). What could be the coordinates of the fifth corner if the park is to have an area of 20?
(1,11)

Answer 2

For the answer to the question above asking, what could be the coordinates of the fifth corner if the park is to have an area of 20?
The area of the original figure is 16.
Which means you need a figure with the area of 4. Ideally, a triangle since it is a pentagon. But technically it's not in a perfect shape.
Attaching its base to the square, you need a height of 2.
So the answer is (1,11)