Home
Class 14
MATHS
A side of a square is 16 cm. A new squar...

A side of a square is 16 cm. A new square is formed by joining the midpoints of sides, again a new square is formed by joining the mid-points of the new square and this process goes on till infiity. Find the total area of such square formed ?

A

` 256 cm^2 `

B

`128cm^2`

C

`512cm^2`

D

`1024cm^2`

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • LCM & HCF

    MOTHERS|Exercise MULTIPLE CHOICE QUESTION|200 Videos

  • PARTNERSHIP

    MOTHERS|Exercise MULTIPLE CHOICE QUESTION |51 Videos

Similar Questions

Explore conceptually related problems

The length of side of a square is 'a' metre. A second square is formed by joining the middle points of this square. Then a third square is formed by joining the middle points of the sides of the second square and so on. Then, the sum of the areas of squares which carried upto infinity, is

If side of a square is 20 cm, find its area.

Find the area of a square whose side is 5cm.

Show that the quadrilateral, formed by joining the mid-points of the sides of a square is also a square.

A triangle is formed by joining mid points of sides of a triangle and a triangle is formed again by joining mid points of its sides. The ratio of area of this triangle to the area of original triangle is

Show that the quadrilateral,formed by joining the mid-points of the sides of a square,is also a square.

The area of square ABCD is 16cm^(2). Find the area of the square joining the mid-point of the sides.

MOTHERS-NUMBER SYSTEM-O
  1. A ball is droped from a height 500 metre. every time ball is bounced b...

    Text Solution

    |

  2. A ball is droped from a height 600 metre. Every time the ball is bounc...

    Text Solution

    |

  3. A side of a square is 16 cm. A new square is formed by joining the mid...

    Text Solution

    |

  4. The sides of a right angled triangle are 6,8 and 10 cm. A new triangle...

    Text Solution

    |

  5. Find the sum of n terms of the following series. 11 + 103 + 1005 + ...

    Text Solution

    |

  6. A man gets ₹60 in first week. and after that every week, he gets ₹3 ...

    Text Solution

    |

  7. A boy charges rupee 1 for first day, rupee 2 for second day and rupee ...

    Text Solution

    |

  8. A new triangle is formed by joining the mid-points of an equilateral t...

    Text Solution

    |

  9. Solve the followings : [(x + 1/y)^a (x - 1/y)^b] div [(y + 1/x)^a (y...

    Text Solution

    |

  10. If x^(x^(3/2))=(x^(3/2))^x, the value of x :

    Text Solution

    |

  11. If x^a = yb = z^c and y^2 = zx, then 1/a + 1/c is equal to -

    Text Solution

    |

  12. The value of 1/(1+x^(b-a)+x^(c-a))+1/(1+x^(c-b)+x^(a-b))+1/(1+x^(a-c)+...

    Text Solution

    |

  13. If 2^(x) = 4^(y) = 8^(z) and xyz = 288, the value of 1/(2x) + 1/(4y) +...

    Text Solution

    |

  14. If 2^(x)=3^(y)=6^(-z), then the value of 1/x+1/y+1/z-

    Text Solution

    |

  15. The value of (4^nxx20^(m-1)xx12^(m-n)xx15^(m+n-2))/(16^mxx5^(2m+n)xx9^...

    Text Solution

    |

  16. Solve the followings : The value of the expression ((0.3)^(1//3).(...

    Text Solution

    |

  17. Whicn of the following is correct ? A=sqrt2,B=root(3)(3),C=root(4)(4...

    Text Solution

    |

  18. Arrange the following in descending order sqrt3 - sqrt2, sqrt4 - sqrt3...

    Text Solution

    |

  19. Arrange in ascending order - sqrt8+sqrt5,sqrt6+sqrt7,sqrt9+sqrt4,sqr...

    Text Solution

    |

  20. Arrange in descending order - sqrt8-sqrt5,sqrt6-sqrt7,sqrt9-sqrt4,sq...

    Text Solution

    |