# Quadrilaterals - Page 3

Questions

- What is the name of a polygon that has twice as many sides as a quadrilateral?
- A parallelogram has sides with lengths of #16 # and #15 #. If the parallelogram's area is #144 #, what is the length of its longest diagonal?
- What type of quadrilateral has four congruent sides and two obtuse angles?
- Two rhombuses have sides with lengths of #8 #. If one rhombus has a corner with an angle of #pi/4 # and the other has a corner with an angle of #(3pi)/8 #, what is the difference between the areas of the rhombuses?
- Two rhombuses have sides with lengths of #11 #. If one rhombus has a corner with an angle of #pi/12 # and the other has a corner with an angle of #(5pi)/8 #, what is the difference between the areas of the rhombuses?
- Two opposite sides of a parallelogram each have a length of #4 #. If one corner of the parallelogram has an angle of #(3 pi)/4 # and the parallelogram's area is #80 #, how long are the other two sides?
- A parallelogram has sides A, B, C, and D. Sides A and B have a length of #1 # and sides C and D have a length of # 2 #. If the angle between sides A and C is #(5 pi)/12 #, what is the area of the parallelogram?
- Ancient Greek's famous geometric problem is the doubling of the cube. It entail of constructing a cube with twice the volume as a given cube, using only a compass and straightedge. Using a mathematical approach to show it is impossible?
- Which special quadrilateral is both a rectangle and a rhombus? Explain how you know Thanks
- A parallelogram has sides with lengths of #16 # and #15 #. If the parallelogram's area is #16 #, what is the length of its longest diagonal?
- Two rhombuses have sides with lengths of #4 #. If one rhombus has a corner with an angle of #(5pi)/12 # and the other has a corner with an angle of #(3pi)/8 #, what is the difference between the areas of the rhombuses?
- A parallelogram has sides with lengths of #14 # and #9 #. If the parallelogram's area is #49 #, what is the length of its longest diagonal?
- Two opposite sides of a parallelogram each have a length of #18 #. If one corner of the parallelogram has an angle of #( pi)/3 # and the parallelogram's area is #42 #, how long are the other two sides?
- Does no trapezoid contain a right angle?
- A parallelogram has sides A, B, C, and D. Sides A and B have a length of #7 # and sides C and D have a length of # 4 #. If the angle between sides A and C is #(7 pi)/12 #, what is the area of the parallelogram?
- Is a trapezium a parallelogram?
- Two opposite sides of a parallelogram have lengths of #12 #. If one corner of the parallelogram has an angle of #pi/8 # and the parallelogram's area is #36 #, how long are the other two sides?
- A parallelogram has sides A, B, C, and D. Sides A and B have a length of #2 # and sides C and D have a length of # 8 #. If the angle between sides A and C is #(3 pi)/4 #, what is the area of the parallelogram?
- Can a rectangle be a rhombus?
- Given Quadrilateral ABCD has coordinates A (3, -5), B (5, -2), C (10, -4), D (8, -7) Quadrilateral ABCD what polygon?