Question

A kite is inscribed in a square with a side length of 9 units. What is the area of the kite? 27. 5 square units 36. 0 square units 40. 5 square units 45. 0 square units.

Answer 1

45. 0 square units.

Answer 2

The area of the kite is 40.5 unit square.

The side of the kite inscribed in square is 9

We have to find the area of the kite

What is the formula for the area of the kite?

The area of a kite is,

$A = (d_1d_2) / 2$

Where $d_1$ and $d_2$ are the diagonals of the kite.

The kite is inscribed in the square, and the sides of the square are 9 units, the diagonals of the kite are both 9 units.

Therefore we get,

$d_1 = 9 units$

$d_2 = 9 units$

$A = (9units \times 9units) / 2$

$A = 81units^2 / 2$

$A = 40.5 units^2$

So the third option is correct .

Therefore ,The area of the kite is 40.5 unit square.

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