Question

if rectangle abcd is similar to rectangle efgh, what is eh? a b e f 8 h 3 g d 4 c eh =

Explanation:

Step1: Recall Similar Figures Property

For similar rectangles, corresponding sides are proportional. So, \(\frac{AD}{EH}=\frac{DC}{HG}\).

Step2: Identify Known Values

From the diagram, \(AD = 8\), \(DC = 4\), and \(HG = 3\). Substitute into the proportion: \(\frac{8}{EH}=\frac{4}{3}\).

Step3: Solve for \(EH\)

Cross - multiply: \(4\times EH=8\times3\). Then \(4EH = 24\). Divide both sides by 4: \(EH=\frac{24}{4}=6\).

Answer:

\(6\)