Question

Joey is building a frame for a sandbox. The sandbox is going to be a quadrilateral that has the lengths shown. A rectangle is shown. The length of the top and bottom sides are 8 feet, and the length of the left and right sides are 12 feet. A diagonal that is 14 feet long is drawn from the bottom one corner of the rectangle to the other corner of the rectangle. Points X and C are opposite to the diagonal. 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

Answer:

C) a quadrilateral, because angle C and angle X are acute

Step-by-step explanation:

Answer 2

It is a quadrilateral because angle C and angle X are acute angles and not right angles option third is correct.

What is quadrilateral?

It is defined as the four-sided polygon in geometry having four edges and four corners. It has two pairs of congruent sides and one pair of opposite congruent angles.

From the Pythagoras theorem:

$14^2=12^2+8^2$

196  ≠ 208

The angles C and X are not right angles since angles C and X are congruent and acute angles.

Thus, it is a quadrilateral because angle C and angle X are acute angles and not right angles option third is correct.

Learn more about the quadrilateral here:

brainly.com/question/6321910

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