Question

parker is planning to build a playhouse for his sister. the scaled model shown gives the reduced measures for width and height. 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? (3.5)(22) = 3.5x (10)(22) = 3.5x (10)(3.5) = 22x (3.5)(10) = 3.5x

Explanation:

Step1: Set up proportion

The proportion for cross - multiplication is based on the ratio of model width to actual width and model height to actual height. The model width is \(10\) cm and the actual width is \(3.5\) meters (we don't need to convert units for the proportion setup as the ratio is consistent). The model height is \(22\) cm and the actual height is \(x\) (let the actual height be \(x\)). The proportion is \(\frac{10}{3.5}=\frac{22}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \((10)(x)=(3.5)(22)\).

Answer:

\((10)(x)=(3.5)(22)\)