Question

Q. There is a sequence of square wire frames. The lengths of a side of these frames are x cm,x+3 cm,x+6 cm,x+9 cm.......respectively. The sum of the areas of first three squares is 525 sq cm.
(a)Express the length of a side of the nth frame in terms of x and n.
(b)find the value of x.
(c)A piece of wire is 99cm long. It is cut and bent into a frame in the sequence. Find the length of a side of the largest frame that can be formed.

Answer 1

Answer:

$\lfloor 2x \rfloor + \lfloor 4x \rfloor + \lfloor 6x \rfloor + \lfloor 8x \rfloor$,

where $x$ is a real number, and $\lfloor z \rfloor$ denotes the greatest integer less than or equal to $z$?

Step-by-step explanation: