Length and area in scale drawings quick check seventh grade

1 answer

1. What is the purpose of a scale drawing?

A scale drawing is used to represent an object or a space in proportion to its actual size. It allows for accurate measurements and visualizations of objects that may be too large or too small to draw at their actual size.

2. How are length and area generally represented in a scale drawing?

Length is represented in a scale drawing by using a scale, which is a ratio that compares the dimensions of the drawing to the actual dimensions of the object. For example, a scale of 1:10 means that 1 unit on the drawing is equal to 10 units in real life.

Area in a scale drawing is calculated by squaring the scale factor. For example, if the scale factor is 1:5, then the area scale factor would be 1:25 (5 squared).

3. How do you calculate the length in a scale drawing if the scale is 1 inch:5 feet?

To calculate the length in a scale drawing with a scale of 1 inch:5 feet, you would first convert the given measurement to the same units. In this case, you would convert feet to inches so that you can compare them directly.

Since 1 foot is equal to 12 inches, you would multiply 5 feet by 12 to get 60 inches. Therefore, 1 inch on the scale drawing represents 60 inches in real life.

If you wanted to find the length in inches on the scale drawing, you would multiply the actual length in feet by the scale factor. For example, if the actual length is 20 feet, you would multiply 20 feet by 12 to convert to inches and then multiply by the scale factor of 1 inch:5 feet to get 48 inches on the scale drawing.