Suppose 'a' and 'b' are the set of parallel sides of a parallelogram and 'h' is the height (which is the perpendicular distance between 'a' and 'b'), then the area of a parallelogram is given by:Įxample: If the base of a parallelogram is equal to 10 cm and the height is 8 cm, then find its area. if its two diagonals along with any of their intersecting angles are known.if the length of the adjacent sides along with the angle between them is known.The parallelogram area can be calculated in each of the following cases: How to Calculate the Area of a Parallelogram? Also, the base and height of the parallelogram are equal to the length and breadth of the rectangle respectively.Īrea of Parallelogram = Base × Height (which is nothing but length × width of the rectangle). Step IV: Paste the triangular portion (PSE) on the white chart joining sides RQ and SP.Īfter doing this activity, we observed that the area of a rectangle is equal to the area of a parallelogram.Step III: Paste the remaining portion (EQRS) on a white chart.Step II: Cut the triangular portion (PSE).Step I: Draw a parallelogram (PQRS) with altitude (SE) on a cardboard and cut it.Let's do an activity to understand the area of a parallelogram.

Thus, the area of the given parallelogram is base times the altitude. Note that we got the same answer using both methods. By counting the squares, we get:Īrea of the parallelogram = Side × height = 5 × 4 = 20 unit 2 Now, we will calculate the area of parallelogram by two methods: (i) By counting squares (ii) By using formulaĪrea of Parallelogram by Counting Squares:Īrea of the parallelogram = 16 + (1/2) × 8 = 16 + 4 = 20 unit 2Īlso, we observe in the figure that ST ⊥ PQ. Using grid paper, let us find its area by counting the squares. Let us analyze the above formula using an example. The formula to calculate the area of a parallelogram can thus be given as,Īrea of parallelogram = b × h square units The base and altitude of a parallelogram are perpendicular to each other as shown in the following figure. The area of a parallelogram can be calculated by multiplying its base by the altitude.

Sam rotated parallelogram abcd 180Â°