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

3/6=8/x

solve for x.

how do i solve for x

would the answer be 16ft?

cross multiply to solve for x

3/6 = 8/x

3*x = 6*8

3x = 48

x = 48 /3 = 16

To find the actual length of Lauren's office, we can set up a proportion using the given scale on the blueprint. The proportion will relate the dimensions on the blueprint to the actual dimensions.

The scale on the blueprint is 3 in. equals 8 ft. Therefore, we can say that:

3 in. / 8 ft. = 6 in. / x ft.

Now, we can solve for x, which represents the actual length of Lauren's office.

To solve the proportion, we can cross-multiply:

3 in. * x ft. = 8 ft. * 6 in.

Simplifying the equation, we get:

3x = 48 ft. * in.

Since 1 ft. equals 12 in., we can convert 48 ft. to inches by multiplying it by 12:

3x = 48 ft. * 12 in./ft.

Simplifying further:

3x = 576 in.

To isolate x, we can divide both sides of the equation by 3:

x = 576 in. / 3

x = 192 in.

Therefore, the actual length of Lauren's office will be 192 inches.