A scale drawing has a scale of 1/4 in. :6ft. Find the length on the drawing for each actual length
a.18ft
b. 66ft
c. 204ft
I don’t get it ;(
To solve this problem, we need to use the given scale of the drawing, which is 1/4 inch : 6 feet. This means that for every 1/4 inch on the drawing, we have 6 feet in real life.
Let's find the length on the drawing for each actual length:
a. 18 feet:
We can set up a proportion to solve for the length on the drawing (x):
1/4 inch / x = 6 feet / 18 feet
To solve for x, we cross-multiply and then divide:
(1/4) * 18 = 6 * x
4.5 = 6x
x = 4.5 / 6
x = 0.75 inches
Therefore, the length on the drawing for 18 feet is 0.75 inches.
b. 66 feet:
Following the same method:
1/4 inch / x = 6 feet / 66 feet
Cross-multiplying and solving for x:
(1/4) * 66 = 6 * x
16.5 = 6x
x = 16.5 / 6
x = 2.75 inches
The length on the drawing for 66 feet is 2.75 inches.
c. 204 feet:
Again, using the same approach:
1/4 inch / x = 6 feet / 204 feet
Cross-multiplying and solving for x:
(1/4) * 204 = 6 * x
51 = 6x
x = 51 / 6
x ≈ 8.5 inches
The length on the drawing for 204 feet is approximately 8.5 inches.
8.5
I will first take the 18 ft- answer- 5.6
Then 66 ft-answer- 8
Now last 204 ft-answer- 12
YOUR WELCOME!!!!! HOPE YOU GET IT RIGHT😉😉
Thank you so much
I would first of all change the ratio from
1/4 in : 6 ft , to
1 inch: 24 ft
a) for 18 ft,
x in/1 in = 18ft/24ft
x = 18/24 = 3/4 inch
b)
x/1 = 66/24 = 11/4 inches or 2.75 inches
c) you do it.