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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.

User Slawa
by
2.7k points

2 Answers

8 votes
8 votes

Answer:

4 sq in or A

Explanation:

4 congruent kites and connected an inscribed within a rectangle. The rectangle is-example-1
User Itsik
by
3.0k points
18 votes
18 votes

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.

4 congruent kites and connected an inscribed within a rectangle. The rectangle is-example-1
User Eaykin
by
3.5k points
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