Question

rectangles q and r are similar. if the area of rectangle q is 374, what is the area of rectangle r? rectangle q area = 374 rectangle r

Explanation:

Step1: Find the scale factor

The scale factor \(k\) of the side lengths of rectangle \(R\) to rectangle \(Q\) is \(k=\frac{13.2}{22}=0.6\)

Step2: Use the area - scale factor relationship

For similar figures, if the scale factor of side lengths is \(k\), the scale factor of areas is \(k^{2}\). Let \(A_Q = 374\) be the area of rectangle \(Q\) and \(A_R\) be the area of rectangle \(R\). Then \(A_R=A_Q\times k^{2}\)
Substitute \(A_Q = 374\) and \(k = 0.6\) into the formula: \(A_R=374\times(0.6)^{2}\)

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Answer:

\(134.64\)