Question

Parker is planning to build a playhouse for his sister.The scaled model below gives the reduced measures for width and height. Hight 10 cm and base 22 cm. The yard space is large enough to have a playhouse that has a width of 3.5 meters. If Parker wants to keep the playhouse in proportion to the model, what cross multiplication of the proportion should he use to find the height?

Answer 1

Answer:

The answer to the problem should be C.

Step-by-step explanation:

Answer 2

The cross multiplication of the proportion he should use to find the height of the playhouse is h = 3.5(b/a).

What is the ratio?

The ratio is defined as a relationship between two quantities, it is expressed one divided by the other.

We have given data that

Width of the playhouse (w) = 3.5 meters

Let the height of the playhouse be 'h'.

If Parker wants to maintain the model's proportions for the playhouse.

Let the width of the model be 'a'.

Let the height of the model be 'b'.

So, the proportion becomes,

⇒ h/w = b/a

⇒ h = w(b/a)

Substitute the value of width of the playhouse (w)

⇒ h = 3.5(b/a)

Thus, the cross multiplication of the proportion he should use to find the height of the playhouse is h = 3.5(b/a).

Learn more about Ratio here:

brainly.com/question/1504221

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