kwizNET Subscribers, please login to turn off the Ads!
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics - 2
9.20 Area of Quadrilateral

The area of quadrilateral can be found by splitting it into two triangles and ading up their areas.

The area of the quadrilateral whose vertices taken in order are A(x1, y1), B(x2, y2), C(x3, y3), D(x4, y4).

Write down the coordinates as shown

Area of Quad ABCD = Area of triangle ABC + Area of triangle ACD
= 1/2{(x1y2)-(x2y1+(x2y3-x3y2(x3y1-x1y3)} + 1/2{(x1y3-x3y1)+x3y4-x4y3)+ (x4y1-x1y4}
=1/2[(x1y2-x2y1)+(x2y3-x3y2)+(x3y4-x4y3)+(x4y1-x1y4)]

Example: Find the area of the quadrilateral whose vertices are (3.4), (0,5),(2,-1) and (3,-2).

The required area is
1/2[3x5-0x4+0x(-1)-5x2+2x(-2)-(-1)(3)+3x4-(-2)(3)]
Answer: 11 sq.units


Directions: Solve the following.
Q 1: Find the area of the pentagon whose vertices are (-5,-2), (-2,5)(2,7), (5,1)and (2,-4).
65
66
64

Q 2: Find the area of the quadrilateral whose vertices are (1,1), (7,-3), (12,2) and (7,21).
132
112
122

Q 3:
Answer:

Q 4: Find the area of the quadrilateral whose vertices are (1,1), (3,4), (5,-2) and (4,-7).
39/2
35/2
41/2

Q 5: If the area of the quadrilateral whose angular points taken in order are (1,2), (-5,6), (7,4) and (h,-2), find h.
3
5
6

Q 6: Find the area of the pentagon whose vertices are (4,3), (-5,6),(0,-7), (3,-6), (-7,-2).
94
97
95

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


Subscription to kwizNET Learning System offers the following benefits:

  • Unrestricted access to grade appropriate lessons, quizzes, & printable worksheets
  • Instant scoring of online quizzes
  • Progress tracking and award certificates to keep your student motivated
  • Unlimited practice with auto-generated 'WIZ MATH' quizzes
  • Child-friendly website with no advertisements
  • Choice of Math, English, Science, & Social Studies Curriculums
  • Excellent value for K-12 and ACT, SAT, & TOEFL Test Preparation
  • Get discount offers by sending an email to discounts@kwiznet.com

Quiz Timer