7. Fraser is making a scale drawing of a dog house. The dimensions of the drawing will be \( \frac{1}{8} \) of the dimensions of the actual doghouse. The height of the actual doghouse is \( 36 \frac{3}{4} \) inches. Will the dimensions of Fraser's drawing be equal to, greater than, or less than the dimensions of the ctual dog house?
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Fraser's drawing will be less than the dimensions of the actual doghouse. Since he is using a scale of \( \frac{1}{8} \), each measurement he draws will be one-eighth the size of the real thing. So if the actual height of the doghouse is \( 36 \frac{3}{4} \) inches, Fraser's drawing will measure \( \frac{36.75}{8} \), which is approximately \( 4.59 \) inches tall. That's quite a bit smaller! Now, let’s talk about scaling in design. Scaling is a common practice in architecture and engineering where models or drawings are created at a reduced size for easier visualization and planning. It’s essential to keep the scale consistent to avoid confusion, especially when sharing the designs with others. So, Fraser should double-check his measurements to ensure everything is proportional!
