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The area of a Parallelogram of base 5 cm and height 3.2 cm is
The area of the parallelogram is 16 square centimeters.
To find the area of a parallelogram, you use the formula:
Area = base × height
Given that the base is 5 cm and the height is 3.2 cm, you can plug these values into the formula:
Area = 5 cm × 3.2 cm
Area = 16 square centimeters
So, the area of the parallelogram is 16 square centimeters.
Formulas for Finding the Area and Perimeter of a Parallelogram
Area:
The area of a parallelogram can be calculated using the following formula:
Area = base x height
where:
- base: is the length of any of the parallel sides of the parallelogram.
- height: is the perpendicular distance from the base to the opposite side.
Perimeter:
The perimeter of a parallelogram is the sum of the lengths of all its sides. Since opposite sides of a parallelogram are congruent, you can simply add the length of one side twice and the length of another side twice:
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Perimeter = 2(side 1 length) + 2(side 2 length)
Alternatively:
If you know the lengths of both bases and the height of the parallelogram, you can use this formula:
Perimeter = 2(base 1 + base 2)
Key Points:
- Remember that the base and height must be perpendicular for the area formula to be accurate.
- The order in which you add the side lengths for the perimeter formula doesn’t matter, as long as you include each side twice.
- These formulas apply to any parallelogram, regardless of its angles or side lengths.
Example:
Consider a parallelogram with a base of 8 cm and a height of 5 cm. Its area would be:
Area = 8 cm x 5 cm = 40 sq cm
The perimeter of the same parallelogram could be calculated as:
Perimeter = 2(8 cm) + 2(10 cm) = 16 cm + 20 cm = 36 cm
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Categories: Math
