Answer: 4 sq. in
Step-by-step explanation:
From the question, the card is 8 inches long. Therefore, the length of the vertical diagonal of 1 kite + the length of the vertical diagonal of other kite = 8
Since we have been told that the kites are congruent, therefore the length of the vertical diagonal of both kites will be thesame
Therefore, 2(length of the vertical diagonal of 1 kite) = 8
Therefore, the length of the vertical diagonal of 1 kite will be= 4 inches
The width of the card = 4 inches
Therefore, the length of the horizontal diagonal of 1 kite + the length of the horizontal diagonal of another kite =4
Since the kites are congruent, therefore, the length of the horizontal diagonal of both kites are the same
Therefore, 2(length of the horizontal diagonal of 1 kite) = 4
Therefore, the length of the horizontal diagonal of 1 kite will be= 2 inches
Therefore, the length of the vertical diagonal of the kite= 4 inches and the horizontal diagonal= 2 inches
So, Area of kite = pq/2
Where p and q are diagonals of kite
Area of kite = (4×2)/2
=8/2
= 4 inches square
= 12