To calculate the length of the other diagonal of the kite, the formula for the area of a kite is used. The area is divided by the length of the given diagonal and then multiplied by 2, yielding the length of the other diagonal as 56 meters.
To find the length of the other diagonal of a kite with an area of 252 m2 and one diagonal of length 9 m, we use the formula for the area of a kite, which is (diagonal 1 * diagonal 2) / 2. Since we already have the area and one diagonal, we can rearrange the formula to solve for the missing diagonal:
Area = (diagonal 1 * diagonal 2) / 2
252 m2 = (9 m * diagonal 2) / 2
504 m2 = 9 m * diagonal 2
diagonal 2 = 504 m2 / 9 m
diagonal 2 = 56 m
Therefore, the length of the other diagonal is 56 meters.