Unit Rates and Scale Drawings

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if a store has 120 customers in 8 hours, the unit rate is 15 customers per hour.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the total quantity by the number of units. For example, to find the unit rate of customers per hour, divide the total number of customers by the total hours.

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or space that is drawn to a specific scale, meaning the dimensions are proportional to the actual dimensions.

Front

If a scale is 3 cm = 4.5 m, what does this mean?

Back

This means that every 3 centimeters on the drawing represents 4.5 meters in real life.

Front

How do you find the actual length from a scale drawing?

Back

To find the actual length, multiply the length on the drawing by the scale factor. For example, if a room is 5 cm on the drawing and the scale is 3 cm = 4.5 m, the actual length is (5 cm / 3 cm) * 4.5 m.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width (Area = Length x Width).

Front

If a scale drawing of a park is 8 inches wide and 11 inches long, and the actual park is 330 yards long, how do you find the area of the actual park?

Back

First, find the scale factor by comparing the lengths. Then, use the area formula (Area = Length x Width) with the actual dimensions.

Front

What is a scale factor?

Back

A scale factor is a ratio that compares the dimensions of a drawing to the actual dimensions of the object.

Front

How do you determine the scale factor from a drawing to the actual size?

Back

To determine the scale factor, divide the actual size by the size on the drawing. For example, if the actual size is 6 feet and the drawing size is 2 feet, the scale factor is 6/2 = 3.

Front

If a drawing uses a scale of 1 inch : 2 feet, how long is an object that measures 5 inches in the drawing?

Back

To find the actual length, multiply the drawing length by the scale factor: 5 inches x 2 feet/inch = 10 feet.