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?

The answer to the problem should be C.

Step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

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