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 7 inches and a base 9.5 inches. The bottom two triangles share the base but have a height labeled 12 inches.

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 tri class=

Respuesta :

Hi there!

The formula for the area of a kite is A = 1/2(d1 * d2). The diagonals on your kite are 20 inches and 19 inches. Let's plug those numbers into the formula: A = 1/2(20*19). First, multiply inside of the parenthesis: A = 1/2(380). Lastly, divide 380 by 2: A = 190in^2.

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Answer:

180.5

Step-by-step explanation:

The area will be the sum of all triangles' areas.

Triangle area = [tex]\frac{b*h}{2}[/tex]

A1 = [tex]\frac{9.5*7}{2}= 33.25[/tex]

the other top triangle has the same area so A1+A2 = 33.25*2 = 66.5.

A3 =  [tex]\frac{9.5*12}{2}= 57[/tex]

the other bottom triangle has the same area so A3+A4 = 57*2 = 114.

Then, the area is A1+A2+A3+A4 = 66.5+114 = 180.5