Question

PLEASE HELP ANYONE!!!

Answer 1

Option D : $180.5 \ in^2$ is the area of the kite.

Explanation:

The formula to find the area of the kite is given by

$A=\frac{1}{2} d_{1} d_{2}$

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

From the figure, we can determine the lengths of the diagonals $d_1$ and $d_2$

The length of the diagonal $d_1$ is

$d_1=7 \ in +12 \ in\\d_1=19 \ in$

The length of the diagonal $d_2$ is

$d_2=9.5 \ in+9.5 \ in\\d_2=19 \ in$

Thus, the lengths of the diagonals $d_1$ and $d_2$ are $19 \ in$ and $19 \ in$ respectively.

Substituting these values in the formula $A=\frac{1}{2} d_{1} d_{2}$, we get,

$A=\frac{1}{2} (19\times19)$

$A=\frac{1}{2} (361)$

$A=180.5 \ in^2$

Thus, the area of the kite is $180.5 \ in^2$

Hence, Option D is the correct answer.