
Find the area of each of the following parallelograms.
A.
B.
C.
D.None of these

Answer
433.5k+ views
Hint: Here in this question, we have to find the area of the given parallelograms. To solve this by using a formula of area of parallelogram i.e., . On substituting the given value of height and base in figures and by further simplification, we get the required value of area.
Complete step by step solution:
A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure.
Let a parallelogram , sides and . Draw a line AE perpendicular to the line DC i.e., where be height if the parallelogram and or be the base of the parallelogram .
Area of a parallelogram is a region covered by a parallelogram in a two-dimensional plane. To find the area of the parallelogram, multiply the base of the perpendicular by its height.
The formula of area of a parallelogram:
-----(1)
Now consider, the given parallelograms
In parallelogram (i), given and .
By the formula of area
Area of parallelogram .
In parallelogram (ii), given and .
By the formula of area
Area of parallelogram .
In parallelogram (iii), given and .
By the formula of area
Area of parallelogram .
In parallelogram (iv), given and .
By the formula of area
Area of parallelogram .
Hence, the area of parallelograms are
Therefore, option (A) is correct
So, the correct answer is “Option A”.
Note: We can also determine the height and base of the parallelogram by using the formula of area. The formula is we can alter the formula depending upon which one we want and remember the unit for the area will be the square of the unit of the length of the side of a parallelogram. We should not forget to write the unit.
Complete step by step solution:
A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure.
Let a parallelogram

Area of a parallelogram is a region covered by a parallelogram in a two-dimensional plane. To find the area of the parallelogram, multiply the base of the perpendicular by its height.
Now consider, the given parallelograms
In parallelogram (i), given
By the formula of area
In parallelogram (ii), given
By the formula of area
In parallelogram (iii), given
By the formula of area
In parallelogram (iv), given
By the formula of area
Hence, the area of parallelograms are
Therefore, option (A) is correct
So, the correct answer is “Option A”.
Note: We can also determine the height and base of the parallelogram by using the formula of area. The formula is
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