What is the area of the kite? Please show your work. (Image attached)
Thanks so much in advance!! :))
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Answer:
60ft^2
Step-by-step explanation:
Use the area of a kite formula (A = pq / 2) where p is a diagonal and q is a diagonal.
The diagonal that is horizontal is 2 + 2 which is 4.
The diagonal that is vertical is 10 + 20 which is 30.
4 * 30 = 120
120 / 2 = 60
For this case we have that by definition, the area of a triangle is given by:
[tex]A = \frac {b * h} {2}[/tex]
Where:
b: It is the base of the triangle
h: It's the height of the triangle
In the figure two triangles are shown, inverted among themselves.
[tex]A_ {1} = \frac {4 * 20} {2} = 40 \ ft ^ 2\\A_ {2} = \frac {4 * 10} {2} = 20 \ ft ^ 2[/tex]
Thus, the total area is:
[tex]A_ {t} = 40 \ ft ^ 2 + 20 \ ft ^ 2\\A {t} = 60 \ ft ^ 2[/tex]
Answer:
[tex]60 \ ft ^ 2[/tex]