Praxis Dashboard

The actual width of the kitchen is 9.0 feet.

To determine the actual width of the kitchen, we first need to establish the scale of the drawing based on the provided measurements. Given that 4.5 centimeters on the scale drawing corresponds to 15 feet in reality, we can calculate the scale factor and then apply it to the width measurement of 2.7 centimeters.

A) 8.1 feet

This option is incorrect because it does not accurately reflect the scale derived from the relationship between the kitchen's length in the drawing and its actual length. A width of 8.1 feet would suggest a different ratio, which does not align with the established scale.

B) 9.0 feet

This option is correct. By calculating the scale from the kitchen's length, we find that each centimeter on the drawing represents a value of approximately 3.33 feet in reality (15 feet / 4.5 cm). Therefore, 2.7 centimeters on the drawing translates to an actual width of 9.0 feet (2.7 cm * 3.33 feet/cm), confirming this choice as the accurate answer.

C) 10.3 feet

This option is incorrect because it overestimates the actual width based on the established scale. A width of 10.3 feet does not correlate with the 2.7 centimeters given in the scale drawing, leading to a miscalculation relative to the measured scale.

D) 12.3 feet

This option is incorrect as well, as it significantly exceeds the width that would be derived from the scale. A width of 12.3 feet does not align with the calculated conversion based on the kitchen's scale drawing dimensions.

Conclusion

The correct answer is 9.0 feet because it accurately reflects the proper scaling of the kitchen's width based on the established ratio from the length in the drawing. All other options fail to correctly apply the scale factor derived from the measurements, leading to inaccuracies in their estimations of the actual width.