Home
Class 12
MATHS
A pentagon is formed by cutting a triang...

A pentagon is formed by cutting a triangular corner from a rectangular piece of paper. The five sides of the pentagon have length `13, 19, 20, 25 and 31` not necessarily in that order. The area of the pentagon is

A

459 sq. units

B

600 sq. units

C

680 sq. units

D

745 sq. units

Text Solution

Verified by Experts

The correct Answer is:
(d)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|7 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Five equal charges each of value q are placed at the corners of a regular pentagon of side a. The electric field at the centre of the pentagon is

Four particles each having a charge q, are placed on the four vertices of a regular pentagon. The distance of each corner from the centre is a. Find the electric field at the centre of the pentagon.

A square sheet of 2cm is cut from each corner of a rectangular piece of aluminium sheet of length 12cm and breadth 8cm. Find the area of the left over aluminium sheet.

A square sheet of side 5cm is cut out from a rectangular piece of an aluminium sheet of length 9cm and breadth 6cm. What is the area of the aluminium sheet left over?

Four particles each having a charge q are placed on the four vertices of a regular pentagon. The distance of each corner from the centre is 'a'. Find the electric field at the centre of pentagon.

A piece of paper is in the shape of a square of side 1m long. It is cut at the four corners to make a regular polygon of eight sides (octagon). The area of the polygon is

Two friends need a triangular chart paper for a project. They buy a rectangular chart paper of length 30 inches and breadth 20 inches. They cut is across the diagonal and keep one piece each for their respective projects. Find the area of each friend's chart paper.

From a rectangular sheet of tin, of size 100 cm by 80 cm, are cut four squares of side 10 cm from each corner. Find the area of the remaining sheet.

Five charges, q each are placed at the coreners of a regular pentagone of side. (a) (i) What will be the electric field at O, the centre of the pentagon ? (ii) What will be the electric field 0 if the charge from one of the corners (say A) is removed ? (iii) What will be the electric field at 0 if the charge q at A is replaced by -q ? (b) How would your answer to (a) be affected if pentagon is replaced by n-sided regular polygon with charge q at each of its coreners ?

A rectangular piece is 20m long and 15m wide. From its four corners, quadrants of radii 3.5m have been cut. Find the area of the remaining part.

ARIHANT MATHS ENGLISH-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. Show that x(1) hati+y(1) hatj+ z1hatk, x2hati+y2hatj+z2hatk and x3hati...

    Text Solution

    |

  2. The position vectors of points of intersection of three planes rcdotn1...

    Text Solution

    |

  3. A pentagon is formed by cutting a triangular corner from a rectangular...

    Text Solution

    |

  4. In a three-dimensional coordinate system, P ,Q ,a n dR are images o...

    Text Solution

    |

  5. A plane 2x+3y+5z=1 has a point P which is at minimum distance from lin...

    Text Solution

    |

  6. The locus of point which moves in such a way that its distance from th...

    Text Solution

    |

  7. A cube C={(x, y, z)|o le x, y, zle1} is cut by a sharp knife along the...

    Text Solution

    |

  8. A ray of light is sent through the point P(1,2,3) and is reflected on ...

    Text Solution

    |

  9. Find dy/dx if 2x-3sinx=2y

    Text Solution

    |

  10. The shortest distance between any two opposite edges of the tetrahedro...

    Text Solution

    |

  11. The angle between the pair of planes represented by equation 2x^(2)-2y...

    Text Solution

    |

  12. Let (p, q, r) be a point on the plane 2x+2y+z=6, then the least value ...

    Text Solution

    |

  13. The four lines drawing from the vertices of any tetrahedron to the cen...

    Text Solution

    |

  14. The shorteast distance from (1, 1, 1) to the line of intersection of t...

    Text Solution

    |

  15. The shortest distance between the two lines L1:x=k1, y=k2 and L2: x=k3...

    Text Solution

    |

  16. A=[{:(l(1),m(1),n(1)),(l(2),m(2),n(2)),(l(3),m(3),n(3)):}] and B=[{:(p...

    Text Solution

    |

  17. ABCD is a tetrahedron such that each of the triangleABC, triangleABD a...

    Text Solution

    |

  18. In a regular tetrahedron, if the distance between the mid points of op...

    Text Solution

    |

  19. A variable plane makes intercepts on X, Y and Z-axes and it makes a t...

    Text Solution

    |

  20. If P, Q, R, S are four coplanar points on the sides AB, BC, CD, DA of ...

    Text Solution

    |