# Euclid showed geometrically the distributed law of multiplication. Let #bar(AB) and bar(BC)# be two straight lines, tracing a rectangle and let #bar(BC)#be cut at random at the points D & E. Use this fact to show the distributed law?

##### 1 Answer

Sep 13, 2016

#### Answer:

Please see below.

#### Explanation:

Let

then

Therefore area of rectangle

Also area of rectangles

it is evident from the image that area of rectangle

Hence,

which is nothing but the distributive law.