To find the area of the kite we must find the area of 4 triangles, where in fact only have 2 different triangles. Then we must find the area of these 2 triangles and multiply each area by 2. One triangle has a base of 16.3 and a height of 42.7 and the other has b = 16.3 as well and h = 22.5, the total area will be
[tex]A_T=2A_{\triangle1}+2A_{\triangle2}[/tex]
We know that the area of the triangle is
[tex]A_{\triangle}=\frac{bh}{2}[/tex]
Therefore
[tex]A_T=\frac{2\cdot42.7\cdot16.3}{2}+\frac{2\cdot22.5\cdot16.3}{2}[/tex]
We can simplify 2 on the numerator and denominator
[tex]A_T=42.7\cdot16.3+22.5\cdot16.3[/tex]
Now we just use a calculator and find the result
[tex]A_T=1062.76\text{ cm}^2[/tex]
Rounding to the nearest square centimeter
[tex]A_T=1063\text{ cm}^2[/tex]
Therefore the correct result is the letter B.
