Home plate or the ends of a properly built house.
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A pentagon. an irregular pentagon?
A rectangle has two right angles and parcel sides
Its Impossible. For there to be a shape where all five lines meet perfectly and there to be two pairs of perpendicular sides, there must three right angles. Alternitavely, you could have 1 pair of perpendicular lines and two rights angles, but certainly not both.
It is a polygon. It has four sides of equal length. It has four angles which are all right angles. Its two diagonals bisect each other at right angles. Its area is the square of the length of its side.
Yes, all trapezoids have 4 sides anyhow. The two right angles would have to be consecutive and the only right angles in the polygon to maintain a trapezoidal shape.