Question

rectangle e is a scaled copy of rectangle d.
what is the value of f?

Explanation:

Step1: Determine the scale factor

Since rectangle \(E\) is a scaled copy of rectangle \(D\), the ratio of corresponding sides is the same. The scale factor \(k\) can be found by comparing the widths of the two rectangles. The width of rectangle \(D\) is \(12\) and the width of rectangle \(E\) is \(9\). So, \(k=\frac{9}{12}=\frac{3}{4}\)

Step2: Calculate the value of \(f\)

The height of rectangle \(D\) is \(28\). To find the height \(f\) of rectangle \(E\), we use the scale factor. We know that \(f = 28\times k\). Substitute \(k = \frac{3}{4}\) into the equation: \(f=28\times\frac{3}{4}\)

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Answer:

\(21\)