Question

4 congruent kites and connected an inscribed within a rectangle. The rectangle is 4 inches wide and 8 inches long. A greeting card uses a geometric design containing 4 congruent kites. The card is 4 inches wide and 8 inches long. What is the area of one kite? 4 sq. in. 8 sq. in. 12 sq. in. 16 sq. in.

Answer 1

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:

$\dfrac{8}{2}=4$ inches

The width of a kite is:

$\dfrac{4}{2}=2$ inches

Area of a kite is:

$A=\dfrac{1}{2}d_1d_2$

Where, $d_1,d_2$ 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

$A=\dfrac{1}{2}(4)(2)$

$A=4$

The area of a kite is 4 sq. in.

Therefore, the correct option is A.

Answer 2

Answer:

4 sq in or A

Step-by-step explanation: