Question

8. In a parallelogram ABCD, if AB = 2x +5.CD= y +1, AD = y +5 and BC =3x-4
the ratio AB : BC is
a) 71:21 b) 12:11 c) 31:35 d) 4:7
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Answer 1

Step-by-step explanation:

the given quadrilateral is a parallelogram therefore its opposite sides are congruent.

AB=CD

2x+5=y+1

2x-y=-4..............1

AD=BC

y+5=3x-4

3x-y=13......2

on solving these two equations we get

x equals to 13

y equals to 30

now

substitute the values of x and y in the given sides you will get AB EQUALS TO 31

BC EQUALS TO 35

AB:BC EQUALS TO 31 :35

OPTION C