Find the area of a rhombus if its diagonals are 4 and 6.

To find a solution to the problem, you need to remember that

a rhombus is a parallelogram with equal sides;
the diagonals of the rhombus are mutually perpendicular;
the area of the rhombus is half the product of the diagonals: S = (d1 * d2): 2.
Given: rhombus, d1 = 4, d2 = 6.

Find: S.

Solution: (you can build a rhombus to understand the condition and requirement of the problem);

The area of the rhombus is calculated by the formula S = (d1 * d2): 2, substituting numerical data into the formula and performing the calculations, we will answer the requirement of the problem.

S = (4 * 6): 2 = 12 (square units).

Answer: 12 square units.