Home
Class 12
MATHS
Find the area of the pentagon whose vert...

Find the area of the pentagon whose vertices are `A(1,1),B(7,21),C(7,-3),D(12 ,2),` and `E(0,-3)`

Text Solution

Verified by Experts

The correct Answer is:
146sq. Units

The required area is
`(1)/(2)|{:(1,,1,,),(7,,21,,),(12,,2,,),(7,,-3,,),(0,,-3,,),(1,,1,,):}|=(1)/(2)|(21+14-36-21)-(7+252+14-3)|`
`=146` sq.units
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise 1.3|10 Videos
  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise 1.4|8 Videos
  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise 1.1|6 Videos
  • COORDINATE SYSTEM

    CENGAGE|Exercise Multiple Correct Answers Type|2 Videos
  • CROSS PRODUCTS

    CENGAGE|Exercise DPP 2.2|13 Videos

Similar Questions

Explore conceptually related problems

Find the area of the triangle whose vertices are A(1,2,3) , B(2,3,1) and C(3,1,2)

Find the area of the triangle whose vertices are A(3,-1,2),B(1,-1,-3) and C(4,-3,1)

Find the area of the pentagon whose vertices are (4, 3), (-5, 6), (0, -7), (3, -6), (-7, -2)

Find the area of the quadrilateral whose vertices are A(1,1),B(3,4),C(5,-2) and D(4,-7)

The area of the triangle whose vertices are A(1,-1,2),B(2,1-1)C(3,-1,2) is …….

Find the area of the quadrilateral whose vertices are : (1, 1), (7, -3), (12, 2) and (7, 21)

Find the area of triangle whose vertices are A(6,7),B(2,-9) and C(-4,1)

Find the area of a triangle whose vertices are A(3,2),B(11,8) and C(8,12).