Question

Show that area of paralelogram is the
product of its base and the corresponding
attitude
Hint : Construct a rectangle with base of
a parallelogram.
​

Answer 1

Answer :

Given: A ║gm ABCD in which AB is the base and AL is the corresponding height. 

To prove : Area ( ║gm ABCD) = AB × AL. 

Construction: Draw BM ⊥ DC so that rectangle ABML is formed. 

Proof: ║gm ABCD and rectangle ABML are on the same base AB and between the same parallel lines AB and LC. 

∴ ar( ║gm ABCD) = ar(rectangle ABML) = AB × AL. 

∴ area of a ║gm = base × height