Question

The area of a rhombus whose diagonals are of lengths 10 cm and 8.2 cm is:

• A. 82
• B. 41
• C. 20.5
• D. 50.5

Answer 1

Answer:

B. 41

Area of a Rhombus

• A rhombus is a quadrilateral with all four sides equal in length.

• The diagonals of a rhombus bisect each other at right angles (90 degrees).

• The area of a rhombus can be calculated using the lengths of its diagonals.

Formula for Area of a Rhombus using Diagonals

• The formula for the area of a rhombus is given by: Area = (d1 * d2) / 2

• Where d1 and d2 represent the lengths of the two diagonals.

Application to the Given Problem

• In this problem, the lengths of the diagonals are given as d1 = 10 cm and d2 = 8.2 cm.

• Substitute these values into the formula:

• Area = (10 cm * 8.2 cm) / 2

• Area = 82 cm² / 2

• Area = 41 cm²