Question

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 1

The shape which describe the shape of the sandbox is "A quadrilateral, because angle c and angle x are acute."

What is Quadrilateral?

A quadrilateral is a four-sided polygon, having four edges and four corners.

Here, Diagonal = 14 ft.

          Length = 12 ft.

          Width = 8 ft.

14² = 196,  12² = 144, 8² = 64

  8² + 12² ≠ 14²

so it is not a rectangle.

Now, 14² < 12² + 8²

this condition does not occur in rectangle, so it will be a quadrilateral and here sum of square of two adjacent side is greater than the square of third side (Diagonal). So that is an acute angle.

From this situation we can conclude that:

Thus, the shape which describe the shape of the sandbox is "A quadrilateral, because angle c and angle x are acute."

Learn more about Quadrilateral from:

brainly.com/question/13805601

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