How can a trapezoid and a square have the same area?

Answer 1

-- You can make a square have any area you want it to, by making its sides

longer or shorter. You just have to keep all the sides the same length and

one of its angles 90 degrees, otherwise you won't have a square any more.

-- You can make a trapezoid have any area you want it to, by making its sides

longer or shorter. You just have to keep one pair of sides parallel, otherwise

you won't have a trapezoid any more.

-- Since you can make a square with any area you want, and you can make a

trapezoid with any area you want, there's no reason why you can't make one

of each, that both have the same area.

-- And while you're at it, you could also make a circle that has the same area

as the square and the trapezoid.