Question

area of the parallelogarm​

Answer 1

Step-by-step explanation:

Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.

Answer 2

Answer:

→Area = b × h Square units

→How to Calculate the Area of Parallelograms?

→The parallelogram area can be calculated, using its base and height. Apart from it, the area of a parallelogram can also be evaluated, if its two diagonals are known along with any of their intersecting angles, or if the length of the parallel sides is known along with any of the angles between the sides.

→Example:-

If the base of a parallelogram is equal to 5 cm and the height is 3 cm, then find its area.

→Solution:

Given, length of base=5 cm and height = 3 cm

As per the formula, Area = 5 × 3 = 15 sq.cm

→Parallelogram Area Without Height

→If the height of the parallelogram is unknown to us, then we can use trigonometry concept here to find its area.

→Example:

The angle between any two sides of a parallelogram is 90 degrees. If the length of the two parallel sides is 3 cm and 4 cm respectively, then find the area.

→Solution:

Let a = 3 cm and b=4 cm

x = 90 degrees

→Area = ab sin (x)

→A = 3 × 4 sin (90)

→A = 12 sin 90

→A = 12 × 1 = 12 sq.cm

All Formulas to Calculate Area of a Parallelogram

→Using Base and Height :- A = b × h

→Using Trigonometry :- A = ab sin (x)

→Using Diagonals :- A = ½ × d1 × d2 sin (y)

$\huge \ done!$