Katrina wants to make a scale drawing of her bedroom. Her bedroom is a rectangle 6 m wide and 4 m long she decides on a scale of 1 to 40 . Her bedroom door is .9 m wide. How wide should the door be on the scale drawing?

To find the width of the door on the scale drawing, we need to use the scale factor of 1:40. Given: - Width of the bedroom: 6 m - Length of the bedroom: 4 m - Scale factor: 1:40 - Width of the door: 0.9 m First, we need to find the width of the bedroom on the scale drawing using the scale factor: \[ \text{Width of bedroom on scale drawing} = \frac{6 \, \text{m}}{40} \] Next, we can find the width of the door on the scale drawing by multiplying the width of the door by the scale factor: \[ \text{Width of door on scale drawing} = 0.9 \, \text{m} \times \frac{1}{40} \] Let's calculate the width of the door on the scale drawing. Calculate the value by following steps: - step0: Calculate: \(\frac{6}{40}\) - step1: Reduce the fraction: \(\frac{3}{20}\) The width of the bedroom on the scale drawing is 0.15 m. Now, let's calculate the width of the door on the scale drawing. Calculate the value by following steps: - step0: Calculate: \(\frac{0.9\times 1}{40}\) - step1: Multiply: \(\frac{0.9}{40}\) - step2: Convert the expressions: \(\frac{\frac{9}{10}}{40}\) - step3: Multiply by the reciprocal: \(\frac{9}{10}\times \frac{1}{40}\) - step4: Multiply the fractions: \(\frac{9}{10\times 40}\) - step5: Multiply: \(\frac{9}{400}\) The width of the door on the scale drawing is 0.0225 m. Therefore, the width of the door on the scale drawing should be 0.0225 m.