Calculate Parallelogram Perimeter: Given Area 75 cm² and Height 5 units

Question

Look at the parallelogram in the figure below.

If its area is 75 cm², then what is its perimeter?

151515555AAABBBCCCDDDEEE

Video Solution

Solution Steps

00:00 Find the perimeter of the parallelogram
00:03 Opposite sides are equal in a parallelogram
00:16 The perimeter of the parallelogram equals the sum of its sides
00:26 We don't have enough data to know anything about the pair of sides AB,DC
00:30 Therefore it cannot be solved
00:33 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we aim to find the perimeter given only the area and a side of the parallelogram. The key formula for a parallelogram’s area is Area=Base×Height \text{Area} = \text{Base} \times \text{Height} . The perimeter of the parallelogram is calculated as 2×(Base+Side) 2 \times (\text{Base} + \text{Side}) .

However, the problem only provides the area and one side length and lacks information about the height or the other side. This shortage of detail restricts us from precisely determining other necessary values, like the base and the height, critical for calculating the perimeter.

Without assuming or being provided additional information, such as the height of the parallelogram or the lengths of both pairs of opposite sides, the problem lacks sufficient detail for solving explicitly. Consequently, it is impossible to calculate the perimeter from the given information alone.

Therefore, the correct conclusion is that the perimeter calculation cannot proceed with the available data.

It is not possible to calculate.

Answer

It is not possible to calculate.