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Use Opposite Sides Of A Parallelogram To Solve Problems

The length of one side of a parallelogram is 18 units, and the length of the opposite side is 24 units. If the included angle between these sides is 60 degrees, find the area of the parallelogram.

 The perimeter of a parallelogram is 36 cm, and the lengths of consecutive sides are in the ratio 2:3. Find the lengths of the sides.

In a parallelogram, one side has a length of 10 units, and the length of the adjacent side is twice that of the first side. What is the perimeter of the parallelogram?

 In a parallelogram, the lengths of consecutive sides are in the ratio 1:2, and the longer side is 15 cm. What is the perimeter of the parallelogram?

In a parallelogram, the length of one side is 5 cm, and the length of the adjacent side is 12 cm. If the height corresponding to these sides is 8 cm, find the area of the parallelogram.


The diagonals of a parallelogram have lengths 10 cm and 24 cm. Find the area of the parallelogram.

The diagonals of a parallelogram bisect each other at a right angle. If the length of one diagonal is 10 cm, find the length of the other diagonal.

If the diagonals of a parallelogram are 15 cm and 20 cm, find the perimeter of the parallelogram.


The lengths of the sides of a parallelogram are in the ratio 3:4, and the perimeter is 28 cm. Find the lengths of the sides.


The diagonals of a parallelogram bisect each other at a right angle. If the length of one diagonal is 10 cm, find the length of the other diagonal.