Joey is building a frame for a sandbox. the sandbox is going to be a quadrilateral that has the lengths shown. if the diagonal of the sandbox measures 14 feet, which best describes the shape of the sandbox? a rectangle, because angle c is a right angle a rectangle, because angle c and angle x are congruent a quadrilateral, because angle c and angle x are acute a quadrilateral, because angle c and angle x are obtuse

Answer: a quadrilateral, because angle c and angle x are acutejustification: find attached the figure showing the form of the sandbox.check the relation between the legs of the triangle formed: 8² + 12² = 64 + 144 = 208check the square of the diagonal: 14² = 196.since 14² < 8² + 12² , the angle c is not a right triangle but less than 90°.x is congruent to c.therefore, the figure is not a rectangle, but a quadrilateral, because angle c and angle x are acute.

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