If the area of a kite is 17.25 ft2 and the length of one diagonal is 4.6 ft, find the length of the other diagonal.
Question
If the area of a kite is 17.25 ft2 and the length of one diagonal is 4.6 ft, find the length of the other diagonal.
Solution
The formula for the area of a kite is given by 1/2 * d1 * d2, where d1 and d2 are the lengths of the diagonals.
Given that the area of the kite is 17.25 ft^2 and the length of one diagonal (d1) is 4.6 ft, we can substitute these values into the formula and solve for the length of the other diagonal (d2).
So, 17.25 = 1/2 * 4.6 * d2.
To solve for d2, first multiply both sides of the equation by 2 to get rid of the fraction:
2 * 17.25 = 4.6 * d2, 34.5 = 4.6 * d2.
Then, divide both sides of the equation by 4.6 to solve for d2:
d2 = 34.5 / 4.6.
Therefore, the length of the other diagonal is approximately 7.5 ft.
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