Question

a field in the form of a paraleegaram has side 40m and 60 m and one of its diagonal is 80cm long find the area of a paralelgram
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Answer 1

Step-by-step explanation:

From above figure,

Quadrilateral ABCD is a parallelogram, with sides AB=CD=60m,BC=DA=40m and diagonal BD=80m

Area of parallelogram ABCD=2× (Area of △ABD)

In △ABD,

Semi-perimeter of △ABD,

s=

2

a+b+c

⇒

2

AB+BD+DA

⇒

2

60+80+40

⇒

2

180

⇒90m

So, by Heron's formula,

Area of △ABD =

s(s−a)(s−b)(s−c)

⇒

90(90−60)(90−80)(90−40)

⇒

90×30×10×50

⇒100×3

15

m

2

So, area of parallelogram ABCD=2×300

15

=600

15

m

2

∴ The value of k is 15.

I hope it's help you

Answer 2

Here is your answer . Hope it helps