Question

Is it possible to have a parallelogram with following measurements :

( a ) AB = BC = CD = 5 cm , DA = 3 . 5 cm

( b ) AB = CD = 2 . 5 cm , BC = DA = 3 cm

( c ) AB = BC = 5 cm , CD = DA = 6 cm​

Answer 1

Answer:

AD=BC

AB=DC

3x+2y−11=x+y+4

5x+2y+2=2x+5y−7

2x+y=15..........................eq(1) multiplied by 3

3x−3y=−9..............................eq(2)

on adding both equationswe get

6x+3y=45

3x−3y=−9

_____________________

9x=36

x=4

puting x=4 in eq(1)

2×4+y=15

y=7

AB=5x+2y+2

=5×4+2×7+2=20+14+2=36

BC=x+y+4

=4+7+4=15

So, perimetre =2(36+15)

=102

Area==36×15=540

Diagonal==

15

2

+36

2

=

1521

=39

so a b c points are correct.

Step-by-step explanation:

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Answer 2

Answer:

(a)no. beacause opposite sides are not equal in this parallelogram

(b)no. opposite sides are not equal

(c)no. opposite sides are not equal