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An architecture have model of building. Length of building is 1 m then length of model is 0.75 cm. Then find length and height of model building whose actual length is 22.5 m and height is 10 m - Geometry Mathematics 2

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Question

An architecture have model of building. Length of building is 1 m then length of model is 0.75 cm. Then find length and height of model building whose actual length is 22.5 m and height is 10 m

Sum

Solution

Rough Figure -

Actual
length/height
Model
length/height
1 m 0.75 cm
22.5 m ? (x cm)
10 m ? (y cm)

The actual length of 1 m is shown as 0.75 cm in the model then let the actual length of 22.5 m is shown in the model by 'x' cm.

122.5=0.75x

∴ x = 0.75×22.5

x = 16.875 cm

Now, The actual length of 1 m is shown as 0.75 cm in the model then let the actual height of 10 m is shown in the model by 'y' cm.

110=0.75y

∴ y = 0.75 × 10

y = 7.5 cm

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Chapter 1: Similarity - Q.5

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