On the blueprint of Lauren’s new office building, the scale is 3 inches equals 8 ft. What will be the actual of Lauren’s office if it measures 6 inches long on the blueprint?

(3 in/8 ft) is your ratio. Top and bottom are the same, you just multiply by that or the inverse to make the units come out

you have 6 inches
so you multiply by (8 ft/3 in) to get ft

6 in (8 ft/3 in) = 16 ft

6 inches = 2 * 3 inches.

Multiply: 2 * 8 ft.

To find the actual length of Lauren's office, we can use the given scale and the length on the blueprint.

First, we need to determine the conversion factor from the blueprint scale. The scale tells us that 3 inches on the blueprint represents 8 feet in actual length. We can set up the following proportion to find the conversion factor:

3 inches / 8 feet = 6 inches / x,

where "x" represents the actual length of Lauren's office in feet.

To solve for "x," we can cross-multiply and then divide:

3 inches * x = 6 inches * 8 feet,

3x = 48 inches * feet.

Since there are 12 inches in one foot, we can convert 48 inches to feet by dividing it by 12:

3x = 48 inches * feet = 4 feet.

Now, we can solve for "x" by dividing both sides of the equation by 3:

3x / 3 = 4 feet / 3,

x = 4/3 feet.

Therefore, the actual length of Lauren's office is 4/3 feet, which can also be expressed as 1.33 feet or approximately 1 foot and 4 inches.