Question

ashtons dad built a playhouse that was a scale model of the family house. the shape of the front of each building is shown below. what is the width of the playhouse, w? 4.5 feet

Explanation:

Step1: Set up proportion

Since the playhouse is a scale model of the family house, the ratios of corresponding sides are equal. So we have the proportion \(\frac{27}{18}=\frac{w}{6}\).

Step2: Cross - multiply

Cross - multiply the proportion: \(18w = 27\times6\).

Step3: Simplify right - hand side

Calculate \(27\times6 = 162\). So the equation becomes \(18w=162\).

Step4: Solve for \(w\)

Divide both sides of the equation by \(18\): \(w=\frac{162}{18}\).

Step5: Calculate the value of \(w\)

\(\frac{162}{18}=9\)

Answer:

\(9\) feet