Answer:
72
Step-by-step 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
