Question

Objective : To verify geometrically that (a + b)(x +y)= ax +ay +bx +by
Steps:
1. Divide the rectangle into four parts by drawing two lines as shown and name them.
2. Mark the length and breadth of the rectangle as (a+b) and (x+y) respectively as
shown in the figure.
3. Now, cut out the four rectangles from the big rectangle.

4. Express the following areas in terms of a, b, x, y.
a. Area of A=______________
b. Area of B=______________
c. Area of C=______________
d. Area of D=______________
e. Area of large rectangle ABCD = _________________
f. Since area of large rectangle = Area of A+ Area of B+ Area of C+ Area of D
g. Conclusion :___________________________________________________________

Answer 1

Answer:

a. ax

b. ay

c. bx

d. by

e. (a+b)(x+y)

f. no question

g. The area of large rectangle is the sum of all the area of the smaller rectangles.