a rectangular room is 42ft wide by 69 feet long. On a blueprint, the room is 14" wide. How long os the room on the blueprint.
I am totally lost. How do i even set this up to solve.
Let's use a proportion.
42/14 = 69/x
Cross multiply and solve for x.
trapezoid QRST~EFGH find the measures of the missing sides
To solve this problem, we need to set up a proportion to find the length of the room on the blueprint.
First, let's convert the measurements to the same units. Since the width of the room on the blueprint is given in inches, let's convert the width of the actual room to inches as well.
Since there are 12 inches in a foot, we can convert the width of the actual room to inches by multiplying it by 12:
42 ft * 12 in/ft = 504 in (actual width of the room)
Now, we can set up the proportion. Let the length of the room on the blueprint be represented by 'x'. We can set this up as follows:
504 in (actual width) / 69 ft (actual length) = 14 in (width on the blueprint) / x (length on the blueprint)
To solve for 'x', we cross-multiply and then divide:
504 in * x = 69 ft * 14 in
Now, let's convert the length of the actual room to inches:
69 ft * 12 in/ft = 828 in
So, the equation becomes:
504 in * x = 828 in * 14 in
Now, solve for 'x':
504x = 828 * 14
x = (828 * 14) / 504
Using a calculator to compute the right side of the equation, we find that x is approximately 22.92 inches.
Therefore, the length of the room on the blueprint is approximately 22.92 inches.