Arectangle is a quadrilateral with 4 angles. a rhombus is a quadrilateral with 4 sides of equal lengths. what is the most precise name for a shape that is both a rectangle and a rhombus?

A Square.

Reasons:
1.) A square is a quadrilateral, it has 4 sides and 4 angles.
2.) Like a Rhombus, a square has 4 sides of equal lengths.
3.) Like a Rectangle, a square has 4 angles of equal value.

Hope this helps! 

The square it has all the properties of both the rectangle and rhombus hope this helps

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