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Lesson Worksheet: Area of a Kite Mathematics • 6th Grade

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:

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

Q3:

𝐴𝐵𝐶𝐷 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:

𝐴𝐵𝐶𝐷 is a kite, where 𝑂𝐶=2𝑂𝐴, 𝐵𝑂=𝑂𝐷=𝑂𝐴, and 𝑂𝐴=6in. Determine the area of the kite.

Q7:

In the following figure, 𝐾𝐿𝑀𝑁 is a rectangle, 𝐴𝐵𝐶𝐷 is a kite, and 𝐴𝐶=12in and 𝐵𝐷=6in. If the area of triangle 𝐶𝐿𝐷=8in, then find the area of the shaded region.

Q8:

Using the data in the following figure, find the area of this kite in terms of 𝑥.

  • A7𝑥 in2
  • B14𝑥 in2
  • C3.5𝑥 in2
  • D7𝑥 in2
  • E10𝑥 in2

Q9:

𝐴𝐵𝐶𝐷 is a kite, where 𝐵𝑂=5in, 𝑂𝐷=9in, and the area of triangle 𝑂𝐶𝐷=18in. Determine the area of the kite.

Q10:

If the area of the kite 𝐴𝐵𝐶𝐷=40in, where 𝑂𝐷=4in and 𝐴𝑂𝑂𝐶=31, determine the area of the triangle 𝐵𝐶𝐷.

This lesson includes 90 additional question variations for subscribers.

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