Question

problem #4 - scale drawings (mild) a rectangular garden is 20 feet long and 12 feet wide. create a scale drawing of the garden where 1 inch represents 4 feet. what are the dimensions of the scale drawing?

Explanation:

Step1: Calculate length on scale drawing

Since 1 inch represents 4 feet and the actual length is 20 feet, we divide the actual length by the scale - factor. The formula for the length on the scale drawing $l$ is $l=\frac{\text{actual length}}{\text{scale factor}}$. So, $l = \frac{20}{4}=5$ inches.

Step2: Calculate width on scale drawing

Using the same logic for the width. The actual width is 12 feet. The width on the scale drawing $w$ is $w=\frac{\text{actual width}}{\text{scale factor}}$. So, $w=\frac{12}{4} = 3$ inches.

Answer:

The dimensions of the scale drawing are 5 inches long and 3 inches wide.