### Video Transcript

Given π΄πΆ equals 45 and π΅π· equals 31, find the area of the kite π΄π΅πΆπ·.

Letβs have a look at our kite and transfer the length information that weβre given. Weβre told that π΄πΆ is 45 and π΅π· is 31. As weβre given the two lengths of the diagonals, this means that itβs fairly easy to find the area of the kite using the formula the area of a kite could be found by π times π over two, where π and π 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 π΄π΅πΆπ·.