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

Answer:

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

Step-by-step 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:

$\frac{1}{4}\ inch=1\ foot$

So, $\frac{1}{4}\ inch$  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:

$\frac{\frac{1}{4}}{1} = \frac{x}{12}$

$\frac{4}{1} =\frac{x}{12}$

By cross multiplying we get:

$48=x$

$x=48\ inches.$

Now, again:

$\frac{\frac{1}{4}}{1} =\frac{y}{16}$

$\frac{4}{1} =\frac{y}{16}$

By cross multiplying we get:

$64=y$

$y=64\ inches.$

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