Question

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

Explanation:

Step1: Recall the area formula 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

Given \(A = 0.6\) square inches and \(d_1=0.6\) inches. Substitute into \(A=\frac{1}{2}d_1d_2\), we get \(0.6=\frac{1}{2}\times0.6\times d\).

Step3: Solve for \(d\)

First, simplify the right - hand side of the equation: \(\frac{1}{2}\times0.6\times d = 0.3d\). Then the equation becomes \(0.6 = 0.3d\). Divide both sides by \(0.3\): \(d=\frac{0.6}{0.3}=2\).

Answer:

\(2\)