A greeting card uses a geometric design containing 4 congruent kites. The card is 4 inches wide and 8 inches long. What is the a

Question

4 years ago

15

rea of one kite? 4 sq. in. 8 sq. in. 12 sq. in. 16 sq. in.

2 answers:

MakcuM [25] · Answer 1 · 2021-11-26T15:29:34+03:00

4 0

The correct answer would be option A. 4 sq. inches

barxatty [35] · Answer 2 · 2021-11-26T17:14:43+03:00

Answer:

4 square inches

Step-by-step explanation:

Refer the attached figure .

Since the card is 8 inches long .

So, length of Vertical diagonal of 1 kite + length of Vertical diagonal of another kite = 8

Since we are given that the kites are congruent

So, length of Vertical diagonal of both kites will be same

So, 2 (length of Vertical diagonal of 1 kite ) = 8

So, length of Vertical diagonal of 1 kite = 4 inches

Now width of card is 4 inches

So, length of Horizontal diagonal of 1 kite + length of Horizontal diagonal of another kite =4

Since we are given that the kites are congruent

So, length of Horizontal diagonal of both kites will be same

So, 2 (length of Horizontal diagonal of 1 kite ) = 4

So, length of Horizontal diagonal of 1 kite = 2 inches

So length of vertical diagonal of kite is 4 inches and horizontal diagonal is 2 inches

So, Area of kite = $\frac{pq}{2}$

Where p and q are the diagonals of kite

Area of kite = $\frac{4 \times 2}{2}$

= $4 inches^2$

Hence the area of one kite is 4 sq. inches.