Question

Identify the area of the kite. Please help!!

Answer 1

`\large\boxed{A=480\ m^2}`

Explanation:

The formula of an area of a kite:

`A=(d_1d_2)/(2)`

d₁, d₂ - diagonal

Look at the picture.

Use the Pythagorean theorem.

`x^2+5^2=13^2`

`x^2+25=169` subtract 25 from both sides

`x^2=144\to x=√(144)\\\\x=12\ m`

Therefore d₁ = (2)(12 m) = 24 m.

`y^2+12^2=37^2`

`y^2+144=1369` subtract 144 from both sides

`y^2=1225\to y=√(1225)\\\\y=35\ m`

Therefore d₂ = 5 + 35 = 40 m.

Substitute:

`A=((24)(40))/(2)=(24)(20)=480\ m^2`