Question

Given:
LM
||
KN
,
KL
||
NM
,
LP = h­1 = 5 cm, MQ = h2 = 6 cm,
PKLMN = 42 cm
Find: Area of KLMN.

Answer 1

Where are P and Q in relation to K and N?

Answer 2

they are the opposite sides

Answer 3

Given that in a quadrilatral KLMN,

LM ∥ KN , KL ∥ NM , h1=5, h2=6,

and the perimeter of KLMN is 42.

Since opposite sides are given to be parallel, the quad has to be a parallelogram.

Parallelogram has sides l and w (say)

Then area of parallelogram = base x height

=l(5)=w(6) ... i

Perimeter =2l+2w=42 ... ii

Multiply equation II by 3

6l+6w=42

Substitute for w from i

6l+5l=42

l=42/11

Area = 42/11(5) = 630/11 square units