The area of a parallelogram is the product of its base and perpendicular height: A=bh.
Cut a triangle off one end of the parallelogram and slide it to the other end — you get a rectangle with the same base and height.
Showing a random 20 of 50 problems.
Example 1
medium
Two parallelograms share a base of 12. One has height 5, the other has height 8. How much larger is the second area?
Example 2
medium
A parallelogram is divided by one diagonal. What is the area of each resulting triangle if the parallelogram's area is 50?
Example 3
easy
A square is a special parallelogram. If its side is 7, what is its area?
Example 4
hard
A parallelogram has vertices (0,0), (6,2), (8,7), (2,5). Find its area using the cross-product method.
Example 5
easy
A parallelogram has area 36 and base 9. Find its height.
Example 6
easy
A parallelogram and a triangle share the same base and height. How do their areas compare?
Example 7
easy
A parallelogram has area 54 and base 6. Find the height.
Example 8
easy
What units does the area of a parallelogram have if the base and height are in cm?
Example 9
medium
Two parallelograms have the same base and height but different slants. How do their areas compare?
Example 10
medium
A parallelogram has base 10 and the area is 80. A second parallelogram has the same height but base 15. Find its area.
Example 11
challenge
A rhombus has perimeter 52 and one diagonal 24. Find its area.
Example 12
medium
A rhombus has diagonals 6 and 8. Find its area.
Example 13
hard
A parallelogram is inscribed in a rectangle that is 14 by 9, sharing two opposite vertices. The parallelogram's area is what fraction of the rectangle's?
Example 14
medium
A parallelogram's area is 72 m². Convert this to cm².
Example 15
challenge
A parallelogram and a rectangle have the same perimeter (sides 6 and 10). Which has the larger area, and why?
Example 16
easy
Find the area of a parallelogram with base 10 and height 6.
Example 17
easy
Find the area of a parallelogram with base 7 and height 4.
Example 18
medium
A parallelogram has area 144 cm². If its base is 18 cm, find its height.
Example 19
hard
A parallelogram has area 60. A new parallelogram is formed by tripling the base only. Find its area.
Example 20
easy
Find the area of a parallelogram with base 5 and height 9.