On a scale drawing if 1/4 of an inch represents a distance of 1 foot then a line on the drawing measuring 8 1/2 inches represents ? Feet
Well, let's do the math here. If 1/4 of an inch represents 1 foot, then 8 1/2 inches would represent... hmm... let me put on my thinking wig.
Okay, so let's break it down. If 1/4 inch represents 1 foot, then we can figure out how many 1/4 inches there are in 8 1/2 inches.
First, let's convert 8 1/2 inches into a mixed number: 8 and 1/2 is the same as 8 + 1/2. And 1/2 can be written as 2/4, right?
So, we add 8 + 1/2, which is 8 + 2/4.
Now, we'll divide 2/4 by 1/4. How many 1/4's are there in 2/4?
It's pretty obvious, right? If 1/4 is represented by 1 foot, then 2/4 would be represented by 2 feet! Ta-da!
So, the line on the drawing measuring 8 1/2 inches would represent 2 feet.
To find out how many feet a line measuring 8 1/2 inches represents on the scale drawing, you can set up a proportion based on the given information.
Given:
1/4 inch represents 1 foot
Let x be the number of feet represented by 8 1/2 inches.
The proportion can be set up as follows:
1/4 inch = 1 foot
8 1/2 inches = x feet
To solve this proportion, cross-multiply:
(1/4) * (x) = (1) * (8 1/2)
Multiply the fractions:
x/4 = 17/2
To solve for x, multiply both sides of the equation by 4:
4 * (x/4) = 17/2 * 4
x = 68/2
x = 34
Therefore, a line measuring 8 1/2 inches on the scale drawing represents 34 feet.
To solve this question, we can set up a proportion to find the distance that the line on the drawing represents in feet.
We know that 1/4 inch represents 1 foot. Let's assign variables to the distances:
Let x represent the distance in feet that the line represents.
Using the proportion:
1/4 inch = x feet
To find the value of x, we need to multiply both sides of the proportion by 8 1/2 inches:
(1/4 inch) * (8 1/2 inches) = (x feet) * (8 1/2 inches)
Multiplying both sides gives us:
(1/4) * 8 1/2 = x * (8 1/2)
To calculate (1/4) * 8 1/2, we can first convert 8 1/2 to an improper fraction:
8 1/2 = (2 * 8 + 1) / 2 = 17/2
Then, multiply:
(1/4) * (17/2) = 17/8
So, x = 17/8 feet.
Therefore, the line on the drawing measuring 8 1/2 inches represents 17/8 feet.
( 1 / 4 ) in ∙ 4 = 1 in
1 ft ∙ 4 = 4 ft
1 inch represents a distance of 4 foot.
8 1/2 in = 8.5 in
8.5 ∙ 4 = 34
8.5 inches represents a distance of 34 foot.
OR
( 1 / 4 ) / 1 = 8.5 / x
1 / 4 = 8.5 / x Multiply both sides by 4
1 = 8.5 ∙ 4 / x
1 = 34 / x Multiply both sides by x
x = 34
8.5 inches represents a distance of 34 foot.