Question

if these two shapes are similar, what is the measure of the missing length y? y = yards 1 yd 12 yd 4 yd not feeling ready yet? these can help: work it out

Explanation:

Step1: Set up proportion

For similar - shaped parallelograms, the ratios of corresponding sides are equal. Let the sides of the first parallelogram be \(a = 1\) and \(b=y\), and the sides of the second parallelogram be \(c = 4\) and \(d = 12\). The proportion is \(\frac{a}{c}=\frac{b}{d}\), which becomes \(\frac{1}{4}=\frac{y}{12}\).

Step2: Cross - multiply

Cross - multiplying the proportion \(\frac{1}{4}=\frac{y}{12}\) gives us \(4y=1\times12\).

Step3: Solve for \(y\)

We have the equation \(4y = 12\). Divide both sides of the equation by 4: \(y=\frac{12}{4}=3\).

Answer:

3