Scale 1in =7ft the actual width of the backyard is 49ft how wide is it
The scale for a drawing of this back yard is 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?
49 / 7 = ? / 1
To find the width of the backyard, we need to use the given scale of 1 inch = 7 feet. We can set up a proportion to solve for the width:
1 inch / 7 feet = x inches / 49 feet
First, let's convert 49 feet to inches since the scale is in inches:
49 feet * 12 inches/foot = 588 inches
Now, we can set up the proportion:
1/7 = x/588
Next, let's solve for x. Cross-multiply and divide:
7x = 1 * 588
7x = 588
x = 588/7
x ≈ 84
Therefore, the width of the backyard is approximately 84 inches.
To find out the width of the backyard, given a scale of 1 inch = 7 feet and knowing that the actual width is 49 feet, follow these steps:
1. Determine the ratio between the scale and real measurements. In this case, 1 inch represents 7 feet.
2. Set up a proportion using this ratio. Let's use "x" to represent the width of the backyard:
1 inch / 7 feet = x inches / 49 feet
3. Cross-multiply the proportion:
1 inch * 49 feet = 7 feet * x inches
4. Simplify the equation:
49 inches = 7x
5. Divide both sides of the equation by 7:
49 inches / 7 = x
6. Calculate the width of the backyard:
x = 7 inches
Therefore, the width of the backyard, according to the given scale, is 7 inches.