Question

task a: two buildings
taylor and anand made scale - drawings of two buildings.
in each scale drawing, 2 centimeters represents 9 meters.
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.
partner b

1. what is the actual height of the museum?
2. the actual library is 18 meters wide.

how wide should it be on the scale drawing?
explain your thinking.

Explanation:

Step1: Find the scale factor

The scale is 2 cm represents 9 m, so the scale factor is $\frac{9}{2}= 4.5$ m per cm.

Step2: Calculate the actual height of the library

The library is 5 cm tall on the scale - drawing. Multiply the height on the scale - drawing by the scale factor. So the actual height is $5\times4.5 = 22.5$ m.

Step3: Calculate the width of the museum on the scale - drawing

The actual width of the museum is 22.5 m. Divide the actual width by the scale factor. So the width on the scale - drawing is $\frac{22.5}{4.5}=5$ cm.

Step4: Calculate the actual height of the museum

The museum is 7 cm tall on the scale - drawing. Multiply the height on the scale - drawing by the scale factor. So the actual height is $7\times4.5 = 31.5$ m.

Step5: Calculate the width of the library on the scale - drawing

The actual width of the library is 18 m. Divide the actual width by the scale factor. So the width on the scale - drawing is $\frac{18}{4.5}=4$ cm.

Answer:

Partner A:

1. The actual height of the library is 22.5 m.
2. The width of the museum on the scale - drawing should be 5 cm.

Partner B:

1. The actual height of the museum is 31.5 m.
2. The width of the library on the scale - drawing should be 4 cm.