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labwork [276]
3 years ago
7

An overhead projector enlarges the image on its glass by a scale factor of 4. A rectangle that is 3 inches wide and 7 inches lon

g on the glass is projected on a screen. What is the length of the rectangle on the screen?
Mathematics
1 answer:
qwelly [4]3 years ago
6 0
Just multiply the with and the length by four (considering the scale factor is 4)
3x4=12 and 7x4=28
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Why is ac smaller than ad if they both look very close
kakasveta [241]

Let's begin by listing out the information given to us:

We start out by observing that Triangles MKR & ACD are similar or proportional

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We will solve for the missing side by using the similar triangle theorem. This is shown below:~

\begin{gathered} \Delta MKR\approx\Delta ACD \\ \frac{MK}{AC}=\frac{MR}{AD} \\ \frac{21}{AC}=\frac{24}{28\frac{4}{5}} \\ \text{Cross multiply, we have:} \\ 24\cdot AC=28\frac{4}{5}\cdot21 \\ AC=\frac{28\frac{4}{5}\cdot21}{24}=25\frac{1}{5} \\ AC=25\frac{1}{5} \end{gathered}

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