Given 𝐴𝐶 equals 45 and 𝐵𝐷 equals 31, find the area of the kite 𝐴𝐵𝐶𝐷.
Let’s have a look at our kite and transfer the length information that we’re given. We’re told that 𝐴𝐶 is 45 and 𝐵𝐷 is 31. As we’re given the two lengths of the diagonals, this means that it’s fairly easy to find the area of the kite using the formula the area of a kite could be found by 𝑝 times 𝑞 over two, where 𝑝 and 𝑞 are the lengths of the diagonals. So, using the formula, we substitute our values of 45 and 31 for our two diagonals, giving us 45 times 31 over two. Since 45 times 31 is 1395, we now need to divide this by two, giving us 697.5. And this is our final answer for the area of the kite 𝐴𝐵𝐶𝐷.