Question

what is the area of this rhombus?

Explanation:

Step1: Identify the diagonals of the rhombus

The diagonals of a rhombus are the sum of the segments. For the first diagonal, we have \(12 + 12 = 24\) mm. For the second diagonal, we have \(5+5 = 10\) mm.

Step2: Use the formula for the area of a rhombus

The formula for the area of a rhombus is \(A=\frac{d_1\times d_2}{2}\), where \(d_1\) and \(d_2\) are the lengths of the diagonals. Substituting \(d_1 = 24\) mm and \(d_2=10\) mm into the formula, we get \(A=\frac{24\times10}{2}\).

Step3: Calculate the area

First, calculate \(24\times10 = 240\), then divide by 2: \(\frac{240}{2}=120\) square millimeters.

Answer:

The area of the rhombus is \(120\) square millimeters.