Scale Drawings/Models
A rectangle with a width of 4 feet and a length of 3 feet is scaled up by a factor of 5.
What are the dimensions of the new rectangle?
(Width = ? and Length = ?)
Width = 20 feet
Length = 15 feet
The perimeter of a rectangle is 30 miles.
If the rectangle is scaled by a factor of 1/5, what is the new perimeter?
6 miles
A square with a side length of 6 is scaled by a factor of 2. What is the area of the new square?
a) 12 square inches
b) 64 square inches
c) 144 square inches
c) 144 square units
What would you do to a shape if you wanted to scale it by a factor of 3?
a) Multiply each side by 3.
b) Add 3 to each side length.
c) Divide each side by 3.
a) Multiply each side by 3
In real life, St. Paul and Inver Grove Heights are 12 miles apart. On a map, they are 3 cm apart.
What is the scale of the map?
(Write it as a fraction or ___ : ____ )
1 cm : 4 mi or 1 cm / 4 mi
A triangle with side lengths 2, 5, and 9 is scaled down by a factor of 1/2.
What are the new side lengths?
__?__ , __?__ , __?__
1, 2.5, and 4.5
Asma has some farmland. She owns a rectangular plot of land, with a length of 4 acres and a width of 9 acres.
She decides to increase the sides of her land by a factor of 3. What is the perimeter of her new land?
78 acres
A 3 in x 14 in rectangle is scaled up by a factor of 2. What is the area of the new rectangle?
168 square inches
If a shaped is scaled by a factor of 0.35, what will happen to the shape?
a) Stays the same.
b) It gets smaller.
c) It gets bigger.
b) It gets smaller.
2 cm
A triangle with sides 18, 30, and 42 are scaled by a factor of 1 : 6.
What are the new side lengths?
__?__ , __?__ , __?__
3, 5, 7
A rectangle with a length of 12 feet and a width of 30 feet is scaled by a factor of 2 : 3.
What is the perimeter of the new rectangle?
56 feet
A rectangle with a length of 14 feet and a width of 42 feet is scaled by a factor of 2 : 7.
What is the area of the new rectangle?
48 square feet
A square with a side length of 9 inches is scaled by a factor of 1/3. What is the perimeter of the new square?
12 inches
Asma draws a picture of her favorite teacher ever, Ms. Ahmed. In real life, Ms. Ahmed is 5.25 feet tall. Asma's drawing has a scale of 1 in : 1.75 feet.
How tall is Ms. Ahmed in the drawing?
3 in
Axel's backyard is a 15 ft x 30 ft rectangle. He puts garden beds along the edges, so now the grass only covers a 12 ft x 24 ft rectangle.
What is the scale factor from the old grass space to the new one?
0.8
A square with an area of 25 has its sides scaled by a factor of 0.6.
What is the PERIMETER of the new square?
12 units
A triangle with a base of 15 inches and a height of 35 inches is scaled by a factor of 1 : 5.
What is the area of the new triangle?
10.5 square inches