Question

15. Let LMNP be a parallelogram and
NR be perpendicular to LP. If the area
of the parallelogram is six times the area
of triangle RNP and RP = 6 cm, what
is LR equal to ?
(a)
15 cm
(b) 12 cm
(c) 9 cm
(d) 8 cm​

Answer 1

Answer:

Let LR=x,RN=y

Given, area of △RNP= area of parallelogram LMNP

Therefore, base×height=6×

2

1

×base×height

⇒(x+6)y=6×

2

1

×y×6

⇒x+6=18

⇒x=12

therefore, length of LR is 12 cm