Area Of Rhombus And Kite Worksheet Answers

Agustus 04, 2023 Posting Komentar

As we delve into the world of geometry, we come across different shapes, each with a unique set of properties. Two of these shapes are the rhombus and kite. Both of these shapes have four sides and are quadrilaterals. In this article, we will explore the area of rhombus and kite worksheet answers.

Rhombus

A rhombus is a quadrilateral with all sides equal in length. It also has opposite angles that are equal. To calculate the area of a rhombus, we use the formula:

Area of Rhombus = (Diagonal 1 x Diagonal 2) / 2

Let's take an example of a rhombus with a diagonal length of 10 cm and 12 cm. We can find the area of this rhombus by substituting the values in the formula.

Area of Rhombus = (10 cm x 12 cm) / 2 = 60 cm²

Therefore, the area of the rhombus is 60 cm².

Kite

A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. One pair of opposite angles is also equal in measure. To calculate the area of a kite, we use the formula:

Area of Kite = (Diagonal 1 x Diagonal 2) / 2

Let's take an example of a kite with a diagonal length of 8 cm and 10 cm. We can find the area of this kite by substituting the values in the formula.

Area of Kite = (8 cm x 10 cm) / 2 = 40 cm²

Therefore, the area of the kite is 40 cm².

Difference between Rhombus and Kite

The difference between a rhombus and a kite is that all sides of a rhombus are equal, while only two pairs of adjacent sides are equal in length in a kite. Moreover, the opposite angles of a rhombus are equal, whereas only one pair of opposite angles is equal in a kite.

Sample Worksheet Questions

Now that we know how to calculate the area of a rhombus and kite, let's look at some sample worksheet questions:

A rhombus has a diagonal length of 16 cm and 18 cm. Find the area of the rhombus.
A kite has a diagonal length of 12 cm and 16 cm. Find the area of the kite.
A rhombus has an area of 48 cm² and one diagonal length of 8 cm. Find the length of the other diagonal.
A kite has an area of 72 cm² and one diagonal length of 12 cm. Find the length of the other diagonal.

We can solve these questions by substituting the given values in the respective formulas.

Conclusion

The area of rhombus and kite worksheet answers can be found using the formula (Diagonal 1 x Diagonal 2) / 2. Rhombus and kite are two quadrilaterals that have unique properties. By understanding their properties and formulas, we can solve various worksheet questions related to them.

So, next time you come across a rhombus or kite on a worksheet, you know how to calculate their areas!