Question

Blank 1: 1/2
Blank 2: 5

Answer 1

A scale drawing where 1/2 inch represents 5 feet. To do this, the unit scale is set as a ratio, and then a proportion is used to calculate the length and width on the drawing compared to real measurements. For a 50 feet by 30 feet backyard, the scale drawing dimensions would be 5 inches by 3 inches.

Step-by-step explanation:

A scale drawing by using a given scale to represent actual distances in a smaller, proportional size. Specifically, we're given the scale where 1/2 inch on the drawing represents 5 feet in actual distance. To determine the dimensions of a backyard or any other object in the scale drawing, we first need to establish the unit scale as a ratio.

Example Scale Drawing Calculation

To find the dimensions for the scale drawing of a backyard that measures 50 feet by 30 feet, we use the ratio 1/2 inches per 5 feet (1/2 in = 5 ft):

1. First, write the unit scale as a ratio, which is 0.5 inch to 5 feet in this case.
2. Next, set up a proportion by setting the scale distance equal to the actual distance for both the length and the width of the backyard.

For the length, if the actual length is 50 feet, the scale drawing will be 50/5 = 10 halves of an inch, which equals 5 inches. Similarly, for the width, if the actual width is 30 feet, the scale drawing will be 30/5 = 6 halves of an inch, which equals 3 inches. So, the scale dimensions for Rano's backyard will be 5 inches by 3 inches.

Answer 2

To find scale drawing dimensions using the scale 1/2 inch equals 5 feet, one must set up proportions based on that scale, resulting in a scale drawing with dimensions of 5 inches by 3 inches for a 50 feet by 30 feet backyard.

Step-by-step explanation:

Understanding Scale Drawings

To find the dimensions for scale drawings, we often use a unit scale as a ratio. In this particular problem, the scale given is 1/2 inch equals 5 feet, which can be written as a ratio of 0.5 inches to 5 feet. When creating scale drawings, it's crucial to maintain consistency in units while comparing the scale distance to the actual distance.

For Rano's backyard, with the actual dimensions being 50 feet by 30 feet, you would first set up a ratio based on the given scale, then write a proportion to solve for the dimensions on the scale drawing. Using the ratio 0.5 inches/5 feet, the length in the drawing would be 50 feet divided by the 5 feet equivalent scale (0.5 inches), giving us 5 inches for the length on the scale drawing. Similarly, the width would be 30 feet divided by 5 feet scale equivalent (0.5 inches), resulting in 3 inches for the width on the scale drawing.