a greeting card uses a geometric design containing 4 congruent kites. the card is 4 inches wide and 8 inches…

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.

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

Explanation:

Step1: Calculate the area of the card

The area of a rectangle is given by (A = l\times w). Here, (l = 8) inches and (w = 4) inches. So, (A_{card}=8\times4 = 32) square inches.

Step2: Find the area of one kite

Since there are 4 congruent kites in the design, the area of one kite (A_{kite}=\frac{A_{card}}{4}). Substituting (A_{card} = 32) square inches, we get (A_{kite}=\frac{32}{4}=8) square inches.

Answer:

8 sq. in.