Bluprints of a house are drawn to the scale of 1/4=1 foot .On the bluprints, one of the kitchen wallsis 3.5in. What is the actual size of the kitchen

Respuesta :

Answer:

The actual size of the kitchen is 1.17 feet.

Step-by-step explanation:

Given:

Blueprints of a house are drawn to the scale of 1/4=1 foot .On the blueprints, one of the kitchen walls is 3.5 in.

Now, to find the actual size of the kitchen.

Let the actual size be [tex]x.[/tex]

On the blueprints, one of the kitchen walls is 3.5 in.

Blueprints of a house are drawn to the scale of 1/4=1 foot.

1 foot = 12 in.

[tex]\frac{1}{4}=\frac{1}{4} \times 12=3\ in.[/tex]

So, 3 in is equivalent to 1 foot.

Thus, 3.5 in is equivalent to [tex]x.[/tex]

Now, to get the actual size by using cross multiplication method:

[tex]\frac{3}{1} =\frac{3.5}{x}[/tex]

By cross multiplying we get:

[tex]3x=3.5[/tex]

Dividing both sides by 3 we get:

[tex]x=1.17\ feet.[/tex]

Therefore, the actual size of the kitchen is 1.17 feet.

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