8. Bob has a scale drawing of his kitchen with a scale of \( 4 \mathrm{in} .=5 \mathrm{ft} \). If his kitchen is 12.5 feet in width, what is the width on the scale drawing (inches)?
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To find the width on the scale drawing, we start by converting Bob's kitchen width from feet to inches using the scale provided. Given that \( 4 \text{ in} = 5 \text{ ft} \), we can set up a proportion to find the corresponding width in inches: 1. First, determine how many inches correspond to 1 foot by dividing 4 inches by 5 feet: \[ \frac{4 \text{ in}}{5 \text{ ft}} = \frac{x \text{ in}}{12.5 \text{ ft}} \] 2. To isolate \( x \), we can cross-multiply and get: \[ x \text{ in} = 12.5 \text{ ft} \times \frac{4 \text{ in}}{5 \text{ ft}} = 12.5 \times \frac{4}{5} \] \[ = 12.5 \times 0.8 = 10 \text{ in} \] Thus, the width on the scale drawing is **10 inches**.