Question

An architect makes a model of a new house. The model shows a tile patio in the backyard. In the​ model, each tile has length

and width

The actual tiles have length

and width

. What is the ratio of the length of a tile in the model to the length of an actual​ tile? What is the ratio of the area of a tile in the model to the area of an actual​ tile? Use pencil and paper. Describe two ways to find each ratio.

Answer 1

Answer:

An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has length

and width

The actual tiles have length

and width

. What is the ratio of the length of a tile in the model to the length of an actual tile? What is the ratio of the area of a tile in the model to the area of an actual tile? Use pencil and paper. Describe two ways to find each ratio

Answer 2

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Correct Question

An architect created a model of a building.The height of the model was 10 m and its width was 6 m.The height of the actual building was 25 m and its actual width is 15 m.Are the two-to-width ratios in propertion ?

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Required Answer

The ratios are equal,the height-to-width ratios of the model and the building are in proportion.

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GiveN:-

• Height of the model = 10 m
• Width of the model = 6 m
• Height of the building = 25 m
• Wisth of the building = 15 m

To FinD:-

The height-to-width ratios of the model and the building are in proportion.

SolutioN:-

$: \longrightarrow{ \sf{Height \: of \: the \: model \: to \: width \: of \: the \: model \: = 10 : 6 = \frac{10}{6} = \frac{5}{3}}} \\ \\ : \longrightarrow{ \sf{Height \: of \: the \: building \: to \: width \: of \: the \: building = 25 : 15 = \frac{25}{15} = \frac{5}{3}}} \\ \\ : \longrightarrow{ \sf{Since \: the \: ratios \: are \: equal \: the \: height-to-width \: ratios \: of \: the \: model \: and \: the \: building \: are \: in \: proportion.}}$

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