Question

Which algebraic equation is represented by the diagram?

a. 2(a+b)=2a+2b
b. a2+b2=a2+2ab+b2
c. a(a+2b)=a2+2ab
d. b(a+b)=ba+b2

Answer 1

The figure represents the area of the rectangle.

Explanation:

Area of the rectangle = l X b

where 'l' is the length of the rectangle and

'b' is the breadth.

Here the length of the rectangle = a + b + b

⇒ l = a + 2b

Also breadth, b = a

∴ The area would be l X b = a(a + 2b) = a² + 2ab

OPTION C is the answer.