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 =
Where p and q are the diagonals of kite
Area of kite =
=
Hence the area of one kite is 4 sq. inches.