Given:
LM
||
KN
,
KL
||
NM
,
LP = h1 = 5 cm, MQ = h2 = 6 cm,
PKLMN = 42 cm
Find: Area of KLMN.
3 answers
Where are P and Q in relation to K and N?
they are the opposite sides
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
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