Question

find the area of the kite.

Explanation:

Step1: Recall kite - area formula

The area formula of a kite is $A=\frac{1}{2}d_1d_2$, where $d_1$ and $d_2$ are the lengths of the diagonals.

Step2: Identify diagonal lengths

One diagonal $d_1=(2 + 3)=5$ m and the other diagonal $d_2=(3 + 4)=7$ m.

Step3: Calculate the area

$A=\frac{1}{2}\times5\times7=\frac{35}{2}=17.5$ m². But if we assume the values are for right - angled triangles formed within the kite and we calculate the sum of the areas of the four right - angled triangles.
The four right - angled triangles have areas:
Two triangles with base 2 m and height 3 m, and two triangles with base 4 m and height 3 m.
The area of a right - angled triangle is $A_{\triangle}=\frac{1}{2}bh$.
For the first type of triangle with $b = 2$ m and $h = 3$ m, the area of two such triangles is $2\times\frac{1}{2}\times2\times3=6$ m².
For the second type of triangle with $b = 4$ m and $h = 3$ m, the area of two such triangles is $2\times\frac{1}{2}\times4\times3 = 12$ m².
The total area of the kite $A=6 + 12=18$ m².

Answer:

$18$ m²