Given:
A rectangular greeting card uses a geometric design containing 4 congruent kites.
Consider the below figure attached with this question.
Length of card = 8 inches
Width of card = 4 inches
To find:
The area of one kite.
Solution:
The kites are connected to each other as shown below.
The length of a kite is:
[tex]\dfrac{8}{2}=4[/tex] inches
The width of a kite is:
[tex]\dfrac{4}{2}=2[/tex] inches
Area of a kite is:
[tex]A=\dfrac{1}{2}d_1d_2[/tex]
Where, [tex]d_1,d_2[/tex] are diagonals of the kite.
Length and width of a kite are 4 inches and 2 inches respectively. So, the diagonals of a kite are 4 inches and 2 inches.
Using the above formula, we get
[tex]A=\dfrac{1}{2}(4)(2)[/tex]
[tex]A=4[/tex]
The area of a kite is 4 sq. in.
Therefore, the correct option is A.
