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Find the area of the kite.

Find the area of the kite.-example-1
User Jptsetung
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2 votes

Answer:

72

Explanation:

One way to do this is to use the formula
A=(1)/(2)d_1 d_2 where
d_1 and
d_2 are the lengths of the two diagonals.

In the figure,
d_1=12 and
d_2=12 (2 + 10 and 6 + 6).

The area is
(1)/(2)(12)(12)=(1)/(2)144=72 square units.

Another way that doesn't depend on learning a formula is to remember that the diagonals of a kite are perpendicular, so the 4 small triangles are right triangles. Two of the smaller triangles have base =2 and height = 6, so their areas are 1/2(2)(6) = 6. Double that--there are 2 congruent small triangles--to get an area of 12.

There are two larger right triangles with base =10 and height = 6, so their area are 1/2(10)(6)=30. There are two of those, so their combined area is 60.

Finally, put the small triangle area and the large triangle area together to get a total of 12 + 60 = 72

User Schmod
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