5. Use your understanding of geometric series to explain the relationship between compound interest and simple ordinary annuities (future value). Use an example to illustrate discussion
Bonus if you can relate compound interest and a present value simple ordinary annuity.

Each side of the square = (4a - 3)

The dimensions of the rectangle are  (3a -5b) and (3a + 5b).

Step-by-step explanation:

Part - A

The area of the square is  

By ALGEBRAIC IDENTITY:

⇒

⇒ the Area of the square is

Also, AREA OF THE SQUARE =  

Hence, on comparing the two, side of the square = (4a - 2)

Part - B

The area of the rectangle is  

By ALGEBRAIC IDENTITY:

⇒

⇒ the Area of the rectangle is (3a -5b)(3a + 5b)

Also, AREA OF THE Rectangle  =  Length x Width

Hence, on comparing the two,

The dimensions of the rectangle are  (3a -5b) and (3a + 5b).