Worksheet: Area of a Kite

In this worksheet, we will practice finding the area of a kite in terms of its diagonals' lengths.

Q1:

Given 𝐴𝐶=45 and 𝐵𝐷=31, find the area of the kite 𝐴𝐵𝐶𝐷.

Q2:

𝐴 𝐵 𝐶 𝐷 is a kite where 𝐴𝐶=23in and its area equals 115 in2. Determine the length of 𝐵𝐷.

Q3:

𝐴 𝐵 𝐶 𝐷 is a kite, where 𝐴𝐵=9in, 𝐵𝐶=7in, and 𝐵𝑂=6in. Determine the area of the kite to the nearest tenth.

Q4:

What is the area of the given figure to the nearest tenth of a foot?

Q5:

Find the area of the shaded region.

Q6:

𝐴 𝐵 𝐶 𝐷 is a kite where 𝐴𝐶=23in and its area equals 230 in2. Determine the length of 𝐵𝐷.

Q7:

𝐴 𝐵 𝐶 𝐷 is a kite where 𝐴𝐶=20in and its area equals 100 in2. Determine the length of 𝐵𝐷.

Q8:

What is the area of the given figure to the nearest tenth of a foot?

Q9:

What is the area of the given figure to the nearest tenth of a foot?

Q10:

Given 𝐴𝐶=47 and 𝐵𝐷=40, find the area of the kite 𝐴𝐵𝐶𝐷.

Q11:

𝐴 𝐵 𝐶 𝐷 is a kite, where 𝐴𝐵=3in, 𝐵𝐶=4in, and 𝐵𝑂=2in. Determine the area of the kite to the nearest tenth.

Q12:

𝐴 𝐵 𝐶 𝐷 is a kite, where 𝐴𝐵=5in, 𝐵𝐶=8in, and 𝐵𝑂=4in. Determine the area of the kite to the nearest tenth.

Q13:

Find the area of the shaded region.

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