Scale drawing

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or area that is proportionally reduced or enlarged to fit on paper, using a specific ratio or scale.

Front

What does the scale '1 inch = 20 miles' mean?

Back

It means that every 1 inch on the map represents 20 actual miles in reality.

Front

How do you calculate the actual distance using a scale?

Back

Multiply the distance on the scale drawing by the scale factor. For example, if the distance is 4 inches and the scale is 1 inch = 20 miles, the actual distance is 4 x 20 = 80 miles.

Front

If 2 cm on a scale drawing equals 6 feet in reality, what is the height of a tree that measures 7.8 cm on the drawing?

Back

To find the actual height, use the ratio: (6 feet / 2 cm) = (x feet / 7.8 cm). Solving gives x = 23.4 feet.

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by the formula P = 2(length + width).

Front

If a scale drawing has a scale of 1 cm = 5 m, how do you find the actual dimensions?

Back

Multiply the dimensions on the scale drawing by the scale factor. For example, if a side measures 10 cm, the actual length is 10 x 5 = 50 m.

Front

What is the area of a rectangle?

Back

The area A of a rectangle is calculated using the formula A = length x width.

Front

How do you find the area of a scale model?

Back

Calculate the area of the actual object and then apply the scale factor. For example, if the actual area is 468 ft² and the scale is 1/24, the area on the model is 468 x (1/24)².

Front

What does it mean for two rectangles to be proportional?

Back

Two rectangles are proportional if the ratios of their corresponding sides are equal.

Front

If rectangle MNPQ is proportional to rectangle RSTU, how do you find the missing side length?

Back

Set up a proportion using the known side lengths and solve for the unknown side.