In a scaled drawing 1/3 of an inch represents 6 feet how many inches represent 54 feet
Cross multiply and solve for x.
(1/3)/6 = x/54
To find out how many inches represent 54 feet in a scaled drawing where 1/3 of an inch represents 6 feet, we can set up a proportion.
Let x represent the number of inches that represent 54 feet.
Using the given ratio, we have the proportion:
1/3 inch / 6 feet = x inches / 54 feet
To solve this proportion, cross-multiply and then solve for x:
(1/3) * 54 feet = 6 feet * x inches
18 feet = 6x inches
Divide both sides by 6 to isolate x:
18 feet / 6 = x inches
3 feet = x inches
Since there are 12 inches in a foot, we can convert 3 feet to inches:
3 feet * 12 inches/foot = x inches
36 inches = x
So, 36 inches represent 54 feet in the scaled drawing.
To find out how many inches represent 54 feet in the scaled drawing, we can set up a proportion using the given information.
We know that in the scaled drawing, 1/3 of an inch represents 6 feet. Let's label this relationship as follows:
1/3 inch | 6 feet
We need to find the number of inches that represent 54 feet. Let's label this as 'x' inches. The proportion can be set up as:
1/3 inch x inches
--------- = -------------
6 feet 54 feet
Now, we can cross-multiply and solve for 'x':
(1/3) * 54 = 6 * x
18 = 6 * x
Divide both sides of the equation by 6:
18/6 = x
3 = x
So, 3 inches represent 54 feet in the scaled drawing.