Question

the area of this rhombus is 1.35 square centimeters. one of its diagonals is 3 centimeters. what is the length of the missing diagonal, d? centimeters

Explanation:

Step1: Recall rhombus area formula

The area of a rhombus is given by $A = \frac{d_1 \times d_2}{2}$, where $d_1$ and $d_2$ are the lengths of its diagonals.

Step2: Substitute known values

We know $A = 1.35$ cm², $d_1 = 3$ cm. Rearrange the formula to solve for $d_2$:
$d_2 = \frac{2A}{d_1}$
Substitute the values:
$d_2 = \frac{2 \times 1.35}{3}$

Step3: Calculate the missing diagonal

First compute $2 \times 1.35 = 2.7$, then divide by 3:
$d_2 = \frac{2.7}{3} = 0.9$

Answer:

0.9 centimeters