# Quadrilaterals - Page 2

Questions

- A parallelogram has sides A, B, C, and D. Sides A and B have a length of #4 # and sides C and D have a length of # 4 #. If the angle between sides A and C is #(3 pi)/8 #, what is the area of the parallelogram?
- A parallelogram has sides A, B, C, and D. Sides A and B have a length of #6 # and sides C and D have a length of # 2 #. If the angle between sides A and C is #pi/3 #, what is the area of the parallelogram?
- Two opposite sides of a parallelogram each have a length of #5 #. If one corner of the parallelogram has an angle of #(5 pi)/8 # and the parallelogram's area is #12 #, how long are the other two sides?
- A rhombus is a quadrilateral that has four congruent sides. How would you prove that the diagonals of a rhombus intersect at a point that is the midpoint of each diagonal?
- A parallelogram has sides A, B, C, and D. Sides A and B have a length of #6 # and sides C and D have a length of # 2 #. If the angle between sides A and C is #(3 pi)/8 #, what is the area of the parallelogram?
- Two rhombuses have sides with lengths of #3 #. 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 A, B, C, and D. Sides A and B have a length of #3 # and sides C and D have a length of # 9 #. If the angle between sides A and C is #pi/12 #, what is the area of the parallelogram?
- A parallelogram has sides with lengths of #12 # and #8 #. If the parallelogram's area is #12 #, what is the length of its longest diagonal?
- The width of a card is 3 centimeters shorter than the length. The area is 46.75 square centimeters. What is the perimeter?
- If a parallelogram has all #4# sides equal, it is a _________?
- A rectangle has an area of 12 square centimeters and a perimeter of 16 centimeters. Which of the following could be its dimensions?
- A parallelogram has sides with lengths of #21 # and #12 #. If the parallelogram's area is #84 #, what is the length of its longest diagonal?
- Two opposite sides of a parallelogram have lengths of #7 #. If one corner of the parallelogram has an angle of #pi/4 # and the parallelogram's area is #42 #, how long are the other two sides?
- A parallelogram has sides with lengths of #16 # and #5 #. If the parallelogram's area is #48 #, what is the length of its longest diagonal?
- A parallelogram has sides with lengths of #15 # and #12 #. If the parallelogram's area is #66 #, what is the length of its longest diagonal?
- A parallelogram has sides with lengths of #9 # and #8 #. If the parallelogram's area is #36 #, what is the length of its longest diagonal?
- Two rhombuses have sides with lengths of #12 #. If one rhombus has a corner with an angle of #pi/12 # and the other has a corner with an angle of #pi/2 #, what is the difference between the areas of the rhombuses?
- What is the area of a parallelogram with corners at these coordinates on a plane: (-2,-1), (-12,-4), (9,-4), (-1,-7)?
- A parallelogram has sides with lengths of #12 # and #4 #. If the parallelogram's area is #36 #, what is the length of its longest diagonal?
- A parallelogram has sides with lengths of #5 # and #9 #. If the parallelogram's area is #27 #, what is the length of its longest diagonal?