An architect makes a scale drawing of a building. She uses the scale shown. 1centimeter=3meters The length of the building in the drawing is 11 centimeters. What is the actual length, in meters, of the building? square meters

To find the actual length of the building, we need to use the scale given in the problem.<br /><br />Given:<br />Scale: $1 \text{ cm} = 3 \text{ meters}$<br />Length of the building in the drawing: $11 \text{ cm}$<br /><br />To find the actual length of the building, we can set up a proportion:<br /><br />\[<br />\frac{1 \text{ cm}}{3 \text{ meters}} = \frac{11 \text{ cm}}{x \text{ meters}}<br />\]<br /><br />Cross-multiplying, we get:<br /><br />\[<br />1 \text{ cm} \times x \text{ meters} = 11 \text{ cm} \times 3 \text{ meters}<br />\]<br /><br />Simplifying, we have:<br /><br />\[<br />x = 11 \times 3<br />\]<br /><br />\[<br />x = 33 \text{ meters}<br />\]<br /><br />Therefore, the actual length of the building is $\boxed{33}$ meters.