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(05.02)An artist is designing a kite like the one show below. Calculate the area to determine how much material she will need to create the kite.


A kite with two top triangles with height of 5 inches and a base 7.5 inches. The bottom two triangles share the base but have a height labeled 14 inches.

142.5 square inches

105 square inches

37.5 square inches

34 square inches

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Answer:

(A) 142.5 square inches

Step-by-step explanation:

It is given that A kite with two top triangles with height of 5 inches and a base 7.5 inches. The bottom two triangles share the base but have a height labeled 14 inches that is:

DE=5in, EC=7.5in, EB=14in

Now, area of the two top triangles of the kite=\(2(\frac{1}{2}{\times}EC{\times}DE)\)

=\(EC{\times}DE\)

=\(7.5{\times}5\)

=\(37.5 square inches\)

Also, area of the two bottom triangles of the given kite=\(2(\frac{1}{2}{\times}EC{\times}EB)\)

=\(EC{\times}EB\)

=\(7.5{\times}14\)

=\(105 square inches\)

Therefore, the total area of the kite=area of the two top triangles of the kite+area of the two bottom triangles of the given kite

=37.5+105

=142.5 square inches.

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