Question

Find the area of the kite.
6
2
10
16
A=
square units

Answer 1

72

Explanation:

The area of a kite is half the product (multiplication) of the diagonals.

Each diagonal has length 12, so A = (1/2)(12)(12) = (1/2)(144) = 72.

Note: You can also find the area by finding the areas of the 4 right triangles. By the way, the diagonals are perpendicular, so all 4 triangles are right triangles.

Area of a small triangle: Area = (1/2)(base)(height) A = (1/2)(2)(6) = 6.

Area of a larger triangle: A = (1/2)(10)(6) = 30

Total area: 2 small triangles plus 2 larger triangles A = 2(6) + 2(30) = 72