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

4 sq in or A

Explanation:

Answer 2

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:

`(8)/(2)=4` inches

The width of a kite is:

`(4)/(2)=2` inches

Area of a kite is:

`A=(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=(1)/(2)(4)(2)`

`A=4`

The area of a kite is 4 sq. in.

Therefore, the correct option is A.