Question

what is the area of the rhombus? 24 square units 18 square units 48 square units 12 square units

Explanation:

Step1: Find the lengths of the diagonals

The diagonals of a rhombus are perpendicular bisectors of each other. One diagonal \(d_1=(3 + 3)=6\) units and the other diagonal \(d_2=(4 + 4)=8\) units.

Step2: Use the formula for the area of a rhombus

The formula for the area of a rhombus is \(A=\frac{1}{2}d_1d_2\). Substitute \(d_1 = 6\) and \(d_2=8\) into the formula: \(A=\frac{1}{2}\times6\times8\).

$$
LATEXBLOCK0
$$

Answer:

24 square units