A square is drawn by joining the mid poi...

A square is drawn by joining the mid points of the sides of a given square. A third square is drawn inside the second square in the same way and this process continues indefinitely. If a side of the first square is 4 cm, determine the sum of the areas of all the squares :

`32cm^2`

`16cm^2`

none

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

RATIO, PROPORTION & VARIATION
QUANTUM CAT|Exercise QUESTION BANK|238 Videos
SET THEORY
QUANTUM CAT|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

A square is drawn by joining the mid points of the sides of a square. A third square is drawn inside the second square in the same way and the process is continued indefinitely. If the side of the first square is 15 cm, then find the sum of the areas of all the squares so formed.

A square is drawn by joining mid pint of the sides of a square. Another square is drawn inside the second square in the same way and the process is continued in definitely. If the side of the first square is 16 cm, then what is the sum of the areas of all the squares ?

A square is drawn by joining the mid-points of the sides of a square.A third square is drawn inside the second square in the same way and the processes continued indefinitely.If the side of the square is 10cm, find the sum of the areas of all the squares so formed.

Find the length of the side of the given square if area of the square is 625 square units and then find the value of x.

If the side of a square is doubled, then the area of the square

The side of a given square is 10 cm. The midpoints of its sides are joined to form a new square. Again, the midpoints of the sides of this new aquare are joined to form another square. The process is continued indefinitely. Find (i) the sum of the areas and (ii) the sum of the perimeters of the squares.

The ratio of the area of a square to that of the square drawn on its diagonal is :

QUANTUM CAT-SEQUENCE, SERIES & PROGRESSIONS-QUESTION BANK

A sequence a1,a2,a3,.an of real numbers is such that a1=0, |a2|=|a1+1|...
Text Solution
|
Find the sum of the squares of first 50 natural numbers
Text Solution
|
A square is drawn by joining the mid points of the sides of a given sq...
Text Solution
|
An A.P. and a G.P. with positive terms have the same number of terms a...
Text Solution
|
An A.P. and a G.P. have all the terms positive. Also the first and sec...
Text Solution
|
1^k + 2^k + 3^k + … + n^k is divisble by 1 + 2 +3 + … n for every n in...
Text Solution
|
If pth , qth, rth and sth terms of an A.P. and in G.P then p-q, q-r , ...
Text Solution
|
What is the maximum number of electrons that can be placed in each she...
Text Solution
|
N kg^(-1) is the unit of :
Text Solution
|
What will be the 33rd terms of the sequences 1,7, 25,79,…?
Text Solution
|
All the four angles of a quadrilateral are in G.P. with common ratio r...
Text Solution
|
In the kingdom of YAMRAJ, there are certain number of souls in a parti...
Text Solution
|
In the kingdom of YAMRAJ, there are certain number of souls in a parti...
Text Solution
|
The income of HBI on the nth day is Rs. (n^2 +2) and the expenditure o...
Text Solution
|
In the zoolozical park lucknow there are four kinds of animals viz. El...
Text Solution
|
In the zoolozical park lucknow there are four kinds of animals viz. El...
Text Solution
|
What is the sum of n terms of the series -1 + 1^2 - 2 + 2^2 - 3 + 3^2 ...
Text Solution
|
Find the sum of 1+2/3+4/9+6/27+8/81+10/243+....+oo:
Text Solution
|
Sum of n terms of the series loga + log((a^2)/(b)) + log((a^3)/(b^2...
Text Solution
|
If a1 , a2 , a3, …."" an are in A.P. where ai gt 0 for all i , then th...
Text Solution
|