A regular hexagon has six equal sides. To find the perimeter of a hexagon, we can multiply the known side length by \(\displaystyle 6\) (since there are six sides) or we can add the known side length to itself six times. 

\(\displaystyle 4\times6=24\)

\(\displaystyle 4+4+4+4+4+4=24\)

A regular hexagon has six equal sides. To find the perimeter of a hexagon, we can multiply the known side length by \(\displaystyle 6\) (since there are six sides) or we can add the known side length to itself six times. 

\(\displaystyle 3\times6=18\)

\(\displaystyle 3+3+3+3+3+3=18\)

A regular hexagon has six equal sides. To find the perimeter of a hexagon, we can multiply the known side length by \(\displaystyle 6\) (since there are six sides) or we can add the known side length to itself six times. 

\(\displaystyle 2\times6=12\)

\(\displaystyle 2+2+2+2+2+2=12\)

A regular hexagon has six equal sides. To find the perimeter of a hexagon, we can multiply the known side length by \(\displaystyle 6\) (since there are six sides) or we can add the known side length to itself six times. 

\(\displaystyle 9\times6=54\)

\(\displaystyle 9+9+9+9+9+9=54\)

This shape is a quadrilateral because it has \(\displaystyle 4\) sides, and by definition a \(\displaystyle 4\)-sided shape is a quadrilateral. 

This shape cannot be a square because it does not have \(\displaystyle 4\) equal side lengths. 

This shape cannot be a rectangle because its opposite sides are not equal in length, nor are the angles all \(\displaystyle 90^\circ\)s.

This shape cannot be a rhombus because it does not have opposite, parallel sides and angles, nor does it have equal side lengths. 

This shape is a rectangle because a rectangle has to have all \(\displaystyle 90^\circ\) angles, and a this shape has all \(\displaystyle 90^\circ\) angles. But, a rectangle is also a quadrilateral and a parallelogram. 

A rectangle can be categorized as a quadrilateral because by definition a quadrilateral is a \(\displaystyle 4\)-sided figure, and a rectangle has \(\displaystyle 4\) sides. 

A rectangle can be categorized as a parallelogram because a parallelogram has to have \(\displaystyle 4\) sides with opposite sides being parallel, and a rectangle has \(\displaystyle 4\) sides with opposite sides being parallel. 

This shape is a trapezoid because a trapezoid only has one set of parallel sides, which in this case is the top and the base lines. 

This shape is also a quadrilateral because it has \(\displaystyle 4\) sides, and a quadrilateral is any \(\displaystyle 4\)-sided figure. 

This shape is not a parallelogram because a parallelogram has two sets of parallel sides, and this shape only has one. 

This shape is not a rhombus because a rhombus has to have \(\displaystyle 4\) equal sides, or opposite equal acute angles, and this shape does not have \(\displaystyle 4\) equal sides, nor are the opposite angles equal or acute. The two top angles are obtuse angles. 

A triangle cannot be called a quadrilateral because a quadrilateral is a \(\displaystyle 4\)-sided figure, and a triangle only has \(\displaystyle 3\) sides. 

A square can be called a quadrilateral because quadrilaterals are any \(\displaystyle 4\)-sided shape, and a square has \(\displaystyle 4\) sides. 

A square can be called a rectangle because it has two sets of equal sides and a square has all \(\displaystyle 90^\circ\) angles.