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

Geometry
4.4 Area of Quadrilateral - II

Example:
In a quadrilateral, the diagonals intersect at right angles and have lengths equal to 7 cm and 8 cm respectively. Find the area of the quadrilateral.

Solution:
Area of quadrilateral = 1/2 * d1d2.
Given that,
d1 = 7cm and d2 = 8cm.
= 1/2 * 7 * 8
= 7 * 4
= 28 sq cm.


Directions: Read the above example carefully and answer the following questions:

  1. Write at least 10 examples of your own.
  2. Draw 2 different quadrilaterals, one with all sides equal and one with opposite sides equal. Draw their diagonals and measure them. Check whether their diagonals intersect at right angles.

Q 1: In a quadrilateral, the diagonals intersect at right angles and have lengths equal to 7.5 cm and 8.5 cm respectively. Find the area of the quadrilateral.
32.78 sq cm
31.23 sq cm
31.88 sq cm
32.15 sq cm

Q 2: In a quadrilateral, the diagonals intersect at right angles and have lengths equal to 12 cm and 11 cm respectively. Find the area of the quadrilateral.
76 sq cm
66 sq cm
46 sq cm
56 sq cm

Q 3: In a quadrilateral, the diagonals intersect at right angles and the length of one of the diagonals is 9 cm. Find the length of the other diagonal if the area of the quadrilateral is given by 36 sq cm.
8 cm
4 cm
1 cm
2 cm

Q 4: In a quadrilateral, the diagonals intersect at right angles and have lengths equal to (255/15) cm and (60/5) cm respectively. Find the area of the quadrilateral.
90 sq cm
45 sq cm
80 sq cm
96 sq cm

Q 5: In a quadrilateral, the diagonals intersect at right angles and one of them have length equal to 4 cm. Find the length of the other diagonal if the area of the quadrilateral is given by 10 sq cm.
6 cm
4 cm
5 cm
2 cm

Q 6: In a quadrilateral, the diagonals intersect at right angles and the length of one of the diagonals is x2 units. Find the length of the other diagonal if the area of the quadrilateral is given by x4 sq units.
3x2 units
x2 units
5x2 units
2x2 units

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