In , points , and are the midpoints of , and respectively. If the area of is , then…

MATHEMATICS · Single correct · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

\triangle XYZ

, points

L

M

and

N

are the midpoints of

XY

YZ

and

ZX

respectively. If the area of

\triangle XYZ

96\,\text{cm}^2

, then the area of the quadrilateral

YLNM

is (a)

72\,\text{cm}^2

(b)

48\,\text{cm}^2

(c)

32\,\text{cm}^2

(d)

24\,\text{cm}^2