Question

The dimensions of an office conference room are 15 feet by 27 feet. If the conference room blueprint dimensions are 5 centimeters by 9 certimeters, what is the scale of the biueprint?

A) 1:3
B) 1:4
C) 1:5
D) 1:6

Answer 1

After converting the actual room dimensions of 15 feet by 27 feet to centimeters, we find that the scale of the blueprint is 1:91.44, which does not match any of the provided options, suggesting an error in the question or options.

Step-by-step explanation:

The dimensions of an office conference room are 15 feet by 27 feet, and the blueprint dimensions are 5 centimeters by 9 centimeters. To find the scale of the blueprint, we need to convert one set of measurements to match the other. Since 1 foot is equivalent to approximately 30.48 centimeters, we convert the actual room dimensions into centimeters prior to determining the scale.

15 feet = 15 × 30.48 cm = 457.2 cm

27 feet = 27 × 30.48 cm = 822.96 cm

Now, we divide the actual dimensions by the blueprint dimensions to find the scale:

457.2 cm / 5 cm = 91.44

822.96 cm / 9 cm = 91.44

Since both dimensions have the same scale factor, we can say that the scale of the blueprint is 1:91.44. However, as 91.44 is not one of the given options, and we know that there is no error in the conversion since 1 foot is accurately converted to 30.48 cm, the question might be ill-constructed or the options provided might be incorrect.