Question

rectangle b is shown below. nadia drew a scaled version of rectangle b using a scale factor of \frac{1}{5} and labeled it rectangle c.

what is the area of rectangle c?

square units

Explanation:

Step1: Calculate the area of Rectangle B

The area formula for a rectangle is \(A = l\times w\). For Rectangle B, \(l = 10\) and \(w = 5\). So, \(A_B=10\times5 = 50\) square units.

Step2: Use the scale - factor property for area

When a figure is scaled by a scale factor \(k\), the area of the new figure \(A_C\) is related to the area of the original figure \(A_B\) by the formula \(A_C=A_B\times k^{2}\). Here, \(k=\frac{1}{5}\). Then \(A_C = 50\times(\frac{1}{5})^{2}\).

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Answer:

\(2\)