Question

PLEASE HELP ME ...........Julie was looking at the architect's blueprint of her house. The scale on blueprint was 1/4 inch = 1 foot. On the blueprint, what are the dimensions of her bedroom if the actual dimensions of her bedroom are 12 feet by 16 feet?​

Answer 1

Explanation:

48 and 64

Answer 2

On the blueprint the dimensions are 48 inches by 64 inches.

Explanation:

Given:

The scale on blueprint was 1/4 inch = 1 foot.

The actual dimensions of her bedroom are 12 feet by 16 feet.

Now, to find the dimensions on the blueprint.

Let the dimensions on the blueprint be
`x` by
`y.`

As, given the scale on blueprint:

`(1)/(4)\ inch=1\ foot`

So,
`(1)/(4)\ inch` is equivalent to 1 foot.

Thus,
`x` is equivalent to 12 feet.

And,
`y` is equivalent to 16 feet.

Now, solving by cross multiplication method:

`((1)/(4))/(1) = (x)/(12)`

`(4)/(1) =(x)/(12)`

By cross multiplying we get:

`48=x`

`x=48\ inches.`

Now, again:

`((1)/(4))/(1) =(y)/(16)`

`(4)/(1) =(y)/(16)`

By cross multiplying we get:

`64=y`

`y=64\ inches.`

Therefore, on the blueprint the dimensions are 48 inches by 64 inches.