Yes, that is possible.
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It can be done easily in an infinite number of ways. Select any point on the perimeter of the square and cut from there, through the centre of the square, to the opposite perimeter. All in a straight line.
Thinking for less than a minute I come up with 3 (not counting rotations and mirrorings) Thinking for another minute I come up with an infinite number. The assignment is asking: A swuare with a side of 4 feet needs to be cut into four parts that are the same in size. Can you find six different ways to cut the square? Using the squares below, draw six different ways the square could be cut. Hint: The parts might not have the same shape. We have already found 4.
By angle: a right triangle. By sides: an isosceles triangle.
In complete sentnces, explain why you can cut the rectangles into different shapes and still have four equal parts.