c) Find the area of the rhombus whose diagonals are 15 cm and 18 cm long.

The area \( A \) of a rhombus can be calculated using the formula:

\[
A = \frac{1}{2} \times d_1 \times d_2
\]

where:
- \( d_1 \) and \( d_2 \) are the lengths of the diagonals.

Given:
- \( d_1 = 15 \, \text{cm} \)
- \( d_2 = 18 \, \text{cm} \)

Substituting the values into the formula:

\[
A = \frac{1}{2} \times 15 \times 18
\]
\[
A = \frac{1}{2} \times 270 = 135 \, \text{cm}^2
\]

Thus, the area of the rhombus is **135 cm²**.

Would you like further details or have any questions?

Here are 5 related questions for practice:
1. If the diagonals of a rhombus are 12 cm and 20 cm, what is its area?
2. Can the area of a rhombus be found using the side lengths alone? Explain.
3. What is the perimeter of the rhombus if one of its sides is 10 cm?
4. If the area of a rhombus is 200 cm² and one diagonal is 25 cm, find the other diagonal.
5. How does the formula for the area of a rhombus relate to that of a rectangle?

**Tip**: The diagonals of a rhombus always bisect each other at right angles, forming four right-angled triangles.

Find the area of the rhombus whose diagonals are 15 cm and 18 cm long.

Learn how to find the area of a rhombus with diagonals measuring 15 cm and 18 cm. This problem uses the formula for the area of a rhombus and applies it step-by-step. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation