Question

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.

Answer 1

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.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

Answer 2

180.5

Explanation:

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

Triangle area =
`(b*h)/(2)`

A1 =
`(9.5*7)/(2)= 33.25`

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

A3 =
`(9.5*12)/(2)= 57`

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