Scale Drawings

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or space that is proportionally reduced or enlarged to fit on paper, using a specific scale to maintain accurate dimensions.

Front

What does the scale 2 inches : 1 foot mean?

Back

It means that every 2 inches on the drawing represents 1 foot in real life.

Front

If a bakery in a scale drawing measures 104 inches, how do you find its actual size using a scale of 2 inches : 1 foot?

Back

To find the actual size, divide the drawing measurement by the scale factor: 104 inches ÷ 2 inches/foot = 52 feet.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In scale drawings, it indicates how much larger or smaller the drawing is compared to the actual object.

Front

If the original perimeter of a rectangle is 30 cm and it is enlarged by a scale factor of 4, what is the new perimeter?

Back

The new perimeter is 30 cm × 4 = 120 cm.

Front

How do you calculate the height of a building in a scale drawing if the actual height is 300 ft and the scale is 1 inch : 10 ft?

Back

To find the height in the drawing, divide the actual height by the scale factor: 300 ft ÷ 10 ft/inch = 30 inches.

Front

What is the formula to find the new perimeter after scaling?

Back

New Perimeter = Original Perimeter × Scale Factor.

Front

If the perimeter of a rectangle increases from 20 inches to 80 inches, what is the scale factor?

Back

The scale factor is 80 inches ÷ 20 inches = 4.

Front

What is the relationship between scale drawings and similar figures?

Back

Scale drawings are similar figures that maintain the same proportions, meaning corresponding sides are in the same ratio.

Front

How do you determine the measurement of a missing side in similar rectangles?

Back

Use the ratio of the corresponding sides to set up a proportion and solve for the missing measurement.