10.6. Area and Perimeter of Rhombuses and Kites http://www.ck12.org
MEDIA
Click image to the left for more content.CK-12 Foundation: Chapter10AreaandPerimeterofRhombusesandKitesB
Concept Problem Revisited
The total area of the Brazilian flag isA= 14 · 20 = 280 units^2. To find the area of the rhombus, we need to find the
length of the diagonals. One diagonal is 20− 1. 7 − 1. 7 = 16. 6 unitsand the other is 14− 1. 7 − 1. 7 = 10. 6 units. The
area isA=^12 ( 16. 6 )( 10. 6 ) = 87. 98 units^2.
Vocabulary
Perimeteris the distance around a shape. The perimeter of any figure must have a unit of measurement attached
to it. If no specific units are given (feet, inches, centimeters, etc), write “units.”Areais the amount of space inside
a figure. Area is measured in square units. Arhombusis a quadrilateral with four congruent sides and akiteis a
quadrilateral with distinct adjacent congruent sides.
Guided Practice
Find the perimeter and area of the kites below.
- Find the area of a rhombus with diagonals of 6 in and 8 in.
Answers:
In a kite, there are two pairs of congruent triangles. You will need to use the Pythagorean Theorem in both problems
to find the length of sides or diagonals.
Shorter sides of kite Longer sides of kite
62 + 52 =s^21122 + 52 =s^22
36 + 25 =s^21144 + 25 =s^22
s 1 =√
61 s 2 =