Question

partner a

1. what is the actual height of the library?
2. the actual museum is 22.5 meters wide. how wide should it be on the scale drawing? explain your thinking.

Explanation:

Step1: Assume scale - factor information is missing

Since no scale - factor is given, we cannot solve these problems. Let's assume a scale of 1:500 (1 unit on the drawing represents 500 units in real - life).

Step2: Solve for the height of the library (if height on drawing was given)

If the height of the library on the drawing is \(h_d\) (in cm for example), and the scale is 1:500, then the actual height \(h_a\) (in cm) is \(h_a = h_d\times500\). To convert to meters, divide by 100.

Step3: Solve for the width of the museum on the drawing

The actual width of the museum \(w_a=22.5\) meters. First convert to centimeters: \(w_a = 22.5\times100 = 2250\) cm. If the scale is 1:500, then the width on the drawing \(w_d\) is \(w_d=\frac{2250}{500}=4.5\) cm.

Answer:

1. Cannot be determined without height on drawing and scale - factor. If scale is 1:500 and height on drawing is \(h_d\) cm, actual height \(h_a=\frac{h_d\times500}{100}\) meters.
2. If scale is 1:500, the width on the drawing is 4.5 cm. The thinking is to first convert the actual width to the same unit as the scale (centimeters), then divide by the scale - factor to get the width on the drawing.