Area of a kite


To find the area of a kite, we will use the kite below with a line of symmetry d1. Notice that when d1 is a line of symmetry, the kite is made of 2 triangles.
KiteKite


Area of kite  =  area of triangle ABC + area of triangle ADC

Be careful!

The height of triangle ABC is half d2 or
d2 / 2


Area of triangle ABC =
base × height / 2


base = d1

height =
d2 / 2


The height of triangle ADC is half d2 or
d2 / 2


Area of triangle ADC =
base × height / 2


base = d1

height =
d2 / 2

Area of a kite
Area of a kite
Area of a kite
Area of a kite
Area of a kite
Area of a kite


Here is the formula for the area of a kite.



Once you know the length of the diagonals, you can just multiply them and divide the result by 2.

Formula for the area of a kite

Examples

1 ) Find the area of a kite with diagonals that are 6 inches and 18 inches long.

Area  = (6 × 18) / 2 = 108 / 2 = 54 square inches.

2)

When the diagonals of a kite meet, they make 4 segments with lengths 6 meters, 4 meters, 5 meters, and 4  meters. What is the area of the resulting kite.

The segments with lengths 4 meters and 4 meters must represent the segment that was bisected into 2 equal pieces or d2

d2 = 4 + 4 = 8 meters

The segments with lengths 6 meters and 5 meters must represent d1 then

d1 = 6 meters + 5 meters = 11

Area = (8 × 11) / 2 = 88 / 2 = 44 square meters





Recent Articles

  1. Linear Parent Function

    Nov 20, 17 11:18 AM

    What is a linear parent function? Crystal clear explanation.

    Read More

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

            Follow me on Pinterest





Recent Lessons

  1. Linear Parent Function

    Nov 20, 17 11:18 AM

    What is a linear parent function? Crystal clear explanation.

    Read More

  Our Top Pages

Formula for percentage

Compatible numbers

Basic math test

Basic math formulas

Types of angles

Math problem solver

Algebra word problems

Surface area of a cube

Finding the average 

Scale drawings

Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!


Everything you need to prepare for an important exam!

K-12 tests, GED math test, basic math tests, geometry tests, algebra tests. 


Real Life Math Skills

Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.

 Recommended

Scientific Notation Quiz

Types of Angles Quiz

Graphing Slope Quiz

Adding and Subtracting Matrices Quiz  

Factoring Trinomials Quiz 

Solving Absolute Value Equations Quiz  

Order of Operations Quiz