If these two shapes are similar, what is the measure of the missing length k? k = _____ inches

To find the measure of the missing length ( k ) in similar shapes, we can use the property that the ratios of the corresponding sides of similar shapes are equal.

To calculate ( k ) step-by-step, follow these steps:

1. Identify Corresponding Sides: Look at the lengths of the sides of the two shapes and which ones correspond to each other.

2. Set Up the Ratio: Write the ratio of the lengths of the sides you know, using the format:

[

frac{text{Side of Shape 1}}{text{Side of Shape 2}} = frac{text{Known Length}}{k}

]

3. Cross-Multiply: Cross-multiply to create an equation that lets you solve for ( k ):

[

text{Side of Shape 1} times k = text{Side of Shape 2} times text{Known Length}

]

4. Solve for ( k ): Divide both sides by ( text{Side of Shape 1} ) to isolate ( k ):

[

k = frac{text{Side of Shape 2} times text{Known Length}}{text{Side of Shape 1}}

]

5. Calculate ( k ): Substitute in the known values and calculate ( k ).

If you provide the specific measurements of the sides, I