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A kite of area 252 m² has one diagonal of length 9 m. Find the length of the other diagonal

User Doctrey
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1 Answer

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12 votes

Answer:

The other diagonal of the kite is 56 meters

Explanation:

To find the length of the other diagonal you find to know the formula for finding the area of a kite which is A = (p×q)/2. It is given that the area is 252m² and one diagonal is 9m.

  1. Place your given numbers in the formula for the area of the kite. With your numbers given the formula is 252 = (9q)/2 or alternatively 252 = (9p)/2
  2. Multiply both sides by 2 the reason being is that we are trying to islolate the unknown variable (weather it is p or q) so we are doing the inverse operation. So you will have 252 × 2 = (9p)/2×2 or (9q)/2×2. At the end of this step it is 504 = 9q or 504 = 9p
  3. Divide by 9 on both sides remember that the point is to islolate the variable. 504/9 = 9q/9 or 504/9 = 9p/9. The final answer is that your unknown diagonal (whether it was q or p) is 56 m
User Sineatos
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