Question

if these two shapes are similar, what is the measure of the missing length k? 1 yd 2 yd 8 yd k = yards

Explanation:

Step1: Set up proportion

For similar shapes, the ratios of corresponding sides are equal. Let the ratio of the sides of the smaller shape to the larger shape be $\frac{1}{k}=\frac{2}{8}$.

Step2: Cross - multiply

Cross - multiplying gives us $2\times k = 1\times8$.

Step3: Solve for k

Dividing both sides of the equation $2k = 8$ by 2, we get $k=\frac{8}{2}$.

Answer:

4