Scale Drawings and Area

A map uses a scale of 1 cm = 2 kilometers. If two cities are 15 kilometers apart, what is the distance between them on the map?

• 7.5 cm

• 5 cm

• 10 cm

• 15 cm

The area of this rectangle is 90 km². If a scaled copy of this rectangle is made using a scale factor of 3, then what is the AREA of the copy?

*HINT: Square the scale factor before multiplying!

• 270 km²

• 810 km²

• 30 km²

• 156 km²

The area of this rectangle is 36 cm².If a scaled copy of this rectangle is made using a scale factor of 1/2, then what is the AREA of the copy?

*HINT: Square the scale factor before multiplying!

• 18 cm²

• 9 cm²

• 4.5 cm²

• 2 cm²

A model of a house was built using the scale 5 in : 25 ft. If a window in the model is 1.5 in. wide, how wide is the ACTUAL window?

• 90 ft

• 7.5 ft 

• 4.5 ft

• 45 in

The scale of a soccer field is 1 centimeter : 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the DRAWING?

• 6 cm

• 486 cm

• 9 cm

• 54 cm

Logan made a treasure hunt map. The treasure is 25cm away from his location. If each 1cm on the scale drawing equals 5 meters, then how far is from the treasure?

• 125 centimeters

• 125 meters

• 125 kilometers

• 125 miles

John made a wooden square box. All sides of the wooden box are 6 cm. If he wants to increase the length of all sides by a scale factor of 2, what is the area of the new box?

• 12

• 36

• 72

• 144

Andrew draws a scale drawing of his office. If each 5cm on the scale drawing equals 10ft, what are the actual dimensions of Andrew's office?

• 40ft, 60ft, 70ft, 60ft

• 2ft, 3ft, 3.5ft, 3ft

• 20ft, 30cm, 35ft, 30ft

• 8ft, 14ft, 12ft, 12ft

Olivia goes to Egypt and saw a model of triangle shaped pyramid. She enlarged it using a scale factor of 1.2. What will be the perimeter of the new triangle be?

• 32.4

• 24

• 40.32

• 20

A local park is in the shape of a square. A map of the local park is made with the scale 1 inch to 200 feet. If the park is shown as a square on the map, each side of which is one foot long, how long is each side of the square park?

• 200

• 2,300

• 2,400

• 240