the area of a kite is 384 square feet. one diagonal is three times as long as the other diagonal. find the length of each diagonal.

Accepted Solution

The lengths of the diagonals are 16 and 48 feet.

To find the area of a kite, you multiply the lengths of the diagonals by each other and divide by 2. All we need to do is fill in the information in the formula and solve for the missing side.

A = pq/2

384 = (x(3x))/2
768 = 3x^2
256 = x^2
16 = x

Now, just multiply this diagonal of 16 by 3 to find the other diagonal of 48.