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Find the area of each of the following parallelograms.
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A.(i)28cm2(ii)15cm2(iii)38.76cm2(iv)24cm2
B.(i)2cm2(ii)15cm2(iii)38.76cm2(iv)24cm2
C.(i)28cm2(ii)1cm2(iii)38.76cm2(iv)24cm2
D.None of these

Answer
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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., Area=base×height. 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 ABCD, sides ABCD and ADBC. Draw a line AE perpendicular to the line DC i.e., AEDC where AE be height if the parallelogram and AC or AB be the base of the parallelogram ABCD.
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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:
Area=base×height-----(1)
Now consider, the given parallelograms
In parallelogram (i), given base=7cm and height=4cm.
By the formula of area
A=7×4
Area of parallelogram =28cm2.
In parallelogram (ii), given base=5cm and height=3cm.
By the formula of area
A=5×3
Area of parallelogram =15cm2.
In parallelogram (iii), given base=5.1cm and height=7.6cm.
By the formula of area
A=5.1×7.6
Area of parallelogram =38.76cm2.
In parallelogram (iv), given base=4cm and height=6cm.
By the formula of area
A=4×6
Area of parallelogram =24cm2.
Hence, the area of parallelograms are (i)28cm2(ii)15cm2(iii)38.76cm2(iv)24cm2
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 Area=base×height 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.