Question

the parallelogram has sides 30cm, 20cm and one of its diagonal is 40cm long it's area is

Answer 1

Let a parralleogram ABCD. (Shown in above picture)

GIVEN:- ABCD is a parralleogram. DA=20cm
DB=40 cm, AB=30 cm

TO FIND:- Area of ABCD.

FINDED IN ABOVE PICTURE.

Your final answer is 570 sq.cm (approx.)

[ second picture is close view of last step, it is also mentioned in first picture so do not get confuse]

HOPE IT HELPS YOU!

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Answer 2

Answer: The area of parallelogram having sides 30cm, 20cm and one of its diagonal is 40cm long  is 150√15cm²

Step-by-step explanation:

Let ABCD be the given parallelogram which has sides 30cm, 20cm and one of its diagonal is 40cm

Area of parallelogram ABCD = 2 x (area of triangle ABC)
Here we will use the heron's formula to find the area of ΔABC

now  a= 30cm,  b= 20cm and    c= 40cm
Area of triangle ABC will be according to the formula
√s(s-a)(s-b)(s-c)

To find s, s=1/2 x (30+20+40) = 45cm

= √45(45-30)(45-20)(45-40)

=√45×15×25×5

=√5 ×9 × 5× 3×5×5×5
=√3×3×3×5×5×5×5×5
=5×3×5√15cm²
=75√15cm²
Area of parallelogram ABCD = 2 x75√15cm²= 150√15cm²

Hence, the area of parallelogram having sides 30cm, 20cm and one of its diagonal is 40cm long  is 150√15cm²

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