Areas of Parallelograms
1)The roof of the barn shown is a parallelogram. The height of the roof is 9 feet. The area of the parallelogram is 225 square feet. What is the base b of the roof?
  

2)A parallelogram with a base of 10 and a height of x is inside a parallelogram with a base of 15 and a height of 11, as shown. Which expression represents the area of the shaded region in terms of x?
  

3)In a parallelogram PQRS, PQ = 13. The altitude corresponding to sides PS = 5cm. Find the area of parallelogram.
  

4)The base of the parallelogram is thrice its height. If the area is 192 cm2, find the base and height.
  

5)A parallelogram has sides 12 cm and 9 cm. If the distance between its shorter sides is 8 cm, find the distance between its longer side.
  

6)ABCD is a parallelogram in which AB = 20 cm, BC = 13 cm, AC = 21 cm. Find the area of parallelogram ABCD.
  

7)In the adjoining figure, ABCD is a parallelogram in which ∠BAD = 75o and ∠DBC = 60o. Calculate ∠CDB
  

8)In the adjoining figure, ABCD is a parallelogram in which ∠CAD = 40°, ∠BAC = 35o and ∠COD = 65o. Calculate ∠ACB
  


  


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