Question

Abcde is a pantagon with be || cd and bc || de bc l cd if the perimeter of abcde is 21 cm find xand y

Answer 1

Hi friend ❣️

ᏴᎬ || ᏟᎠ and ᏴᏟ ||ᎠᎬ

Since , BCDE is a parallelogram.

ᏴᏟ =ᎠᎬ and ᏴᎬ =ᏟᎠ

ᎠᎬ = x-y -------(1)

and x+y =5 -----(2)

Perimeter of ᎪᏴᏟᎠᎬ =21 ᏟᎷ

ᎪᏴ + ᏴᏟ+ ᏟᎠ+ᎠᎬ+ᎬᎪ =21ᏟᎷ

=3 +x- y+x+y+x-y+3=21( DE = x- y )

3x -y = 15 -----(3)

x + y + 3x - y = 5+15

4x = 20

X= 5

Now , put in 2

5 + y = 5

= Y = 0

X = 5 ᎪNᎠ Y = 0