Question

the area of this rhombus is 0.45 square millimeters. one of its diagonals is 0.6 millimeters. what is the length of the missing diagonal, d? millimeters

Explanation:

Step1: Recall the formula for the area of a rhombus

The area formula of a rhombus is \(A=\frac{1}{2}d_1d_2\), where \(A\) is the area, \(d_1\) and \(d_2\) are the lengths of the diagonals.

Step2: Substitute the known values into the formula

We know that \(A = 0.45\) square millimeters and \(d_1=0.6\) millimeters. Plugging these into the formula \(0.45=\frac{1}{2}\times0.6\times d\).

Step3: Solve for \(d\)

First, simplify the right - hand side of the equation: \(\frac{1}{2}\times0.6 = 0.3\). So the equation becomes \(0.45 = 0.3d\). Then, divide both sides by \(0.3\): \(d=\frac{0.45}{0.3}\).

$$d = 1.5$$

Answer:

\(1.5\)