progressed Geometry aid » plane Geometry » quadrilateral » Kites » how to uncover the area the a dragon

Which of the adhering to shapes is a kite?

*


*


*


*


*


Explanation:

A kite is a four-sided form with directly sides that has two bag of sides. Every pair of nearby sides space equal in length. A square is likewise considered a kite.

You are watching: How to find the area of a kite


Explanation:

The formula for the area of a kite:

*
,

where 

*
 represents the length of one diagonal line and 
*
 represents the length of the various other diagonal.

Plugging in ours values, we get:

*

*


Two congruent it is provided triangles through sides of length

*
 are linked so that they share a side. Each triangle has actually a elevation of
*
. Express the area of the shape in terms of
*
.


Explanation:

The form being defined is a rhombus with side lengths 1. Because they space equilateral triangles connected by one side, that side i do not care the lesser diagonal, so

*
.

The higher diagonal is double the elevation of the equaliteral triangles,

*
.

The area of a rhombus is fifty percent the product that the diagonals, so:

 

*


Explanation:

The area of the dragon is provided below. The FOIL an approach will should be provided to simplify the binomial.

*

*


Explanation:

The formula for the area for a kite is

*
, where 
*
 and 
*
 are the lengths the the kite"s 2 diagonals. Us are provided the size of this diagonals in the problem, for this reason we can substitute them into the formula and solve for the area:

*


Explanation:

Write the formula for the area the a kite.

*

Substitute the diagonals and also reduce.

*

Multiply the parenthetical aspects together by distributing the 

*
:

*

*

*

You can think about the outermost portion with 

*
 in the denominator together multiplying every little thing in the numerator by 
*
:

*

*

Change the added 

*
 to 
*
 to develop a typical denominator and add the fractions to come at the correct answer:

*


Explanation:

Write the formula for the area the a kite:

*

Substitute the provided diagonals:

*

Distribute the 

*
:

*

Create a typical denominator because that the 2 fractions in the numerator:

*

*

You can consider the outermost department by 

*
 as multiplying everything in the numerator by 
*
:

*

Multiply throughout to come at the exactly answer:

*


Explanation:

The formula because that the area the a kite is 

*

Plug in the values for each of the diagonals and also solve.

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