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 (0,0), (1,2) and (4,3).

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 triangle whose vertices are A (3,-1,2), B(1,-1,-3) and C(4,-3,1).

Find the area of the triangle vertices are (2, 3) (-1, 0), (2, -4)

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 triangle with vertices A(1,1,2)B(2,3,5) and C(1,5,5).

Find the area of the quadrilateral whose vertices are at (-9, 0), (-8, 6), (-1, -2) and (-6, -3)