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Question is down below and each part has the same drop down answer choices

Question is down below and each part has the same drop down answer choices-example-1
User Franklynd
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ANSWER


\begin{gathered} (a)48\text{ sq units} \\ (b)300\text{ sq units} \end{gathered}

Step-by-step explanation

When a shape is dilated by a scale factor k, its area dilates quadratically. In other words, the area dilates by:


k^2

This means that to find the area of the new shapes after dilation, we have to multiply the original area by the square of k.

(a) For k = 2, the area becomes:


\begin{gathered} A=12\cdot2^2 \\ A=12\cdot4 \\ A=48\text{ sq units} \end{gathered}

(b) For k = 5, the area becomes:


\begin{gathered} A=12\cdot5^2 \\ A=12\cdot25 \\ A=300\text{ sq units} \end{gathered}

User RDR
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