All Advanced Geometry Resources
Example Questions
Example Question #1 : How To Find The Area Of A Kite
The diagonal lengths of a kite are and . What is the area?
The area of a kite is given below. Substitute the given diagonals to find the area.
Example Question #2 : How To Find The Area Of A Kite
Find the area of a kite if the length of the diagonals are and .
Substitute the given diagonals into the area formula for kites. Solve and simplify.
Example Question #3 : How To Find The Area Of A Kite
The diagonals of a kite are and . Find the area.
The formula for the area for a kite is
, where and are the lengths of the kite's two diagonals. We are given the length of these diagonals in the problem, so we can substitute them into the formula and solve for the area:
Example Question #4 : How To Find The Area Of A Kite
The diagonals of a kite are and . Express the kite's area in simplified form.
Write the formula for the area of a kite.
Substitute the diagonals and reduce.
Multiply the parenthetical elements together by distributing the :
You can consider the outermost fraction with in the denominator as multiplying everything in the numerator by :
Change the added to to create a common denominator and add the fractions to arrive at the correct answer:
Example Question #31 : Kites
If the diagonals of a kite are and , express the area in simplified form.
Write the formula for the area of a kite:
Substitute the given diagonals:
Distribute the :
Create a common denominator for the two fractions in the numerator:
You can consider the outermost division by as multiplying everything in the numerator by :
Multiply across to arrive at the correct answer:
Example Question #1 : How To Find The Area Of A Kite
Find the area of a kite if one diagonal is long, and the other diagonal is long.
The formula for the area of a kite is
Plug in the values for each of the diagonals and solve.
Example Question #31 : Kites
Find the area of a kite with the diagonal lengths of and .
Write the formula to find the area of a kite. Substitute the diagonals and solve.
Example Question #1 : How To Find The Area Of A Kite
Find the area of a kite with diagonal lengths of and .
Write the formula for the area of a kite.
Plug in the given diagonals.
Pull out a common factor of two in and simplify.
Use the FOIL method to simplify.
Example Question #331 : Advanced Geometry
Find the area of a kite, if the diagonals of the kite are .
You find the area of a kite by using the lengths of the diagonals.
, which is equal to .
You can reduce this to,
for the final answer.
Example Question #42 : Kites
Show algebraically how the formula of the area of a kite is developed.
1) The given kite is divded into two congruent triangles.
2) Each triangle has a height and a base .
3) The area of each triangle is .
4) The areas of the two triangles are added together,
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