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Allushta [10]
3 years ago
11

On the blueprints for a rectangular floor, the width of the floor is 6 in. The diagonal distance across the floor is 10 in. If t

he width of the actual floor is 32 ft, what is the actual diagonal distance across the floor?
Mathematics
1 answer:
MArishka [77]3 years ago
3 0

Answer:

53.3 ft

Step-by-step explanation:

We use concept of similarity and enlargement

If Actual width is 32 but represented by 6

The ratio of representation to actual is 6/32=0.1875

If actual diagonal is unknown but represented by 10 ft

then let the unknown diagonal be x

The ratio of representation on blueprint to actual is the is the same hence

\frac {10}{x}=0.1875

Therefore, x=\frac {10}{0.1875}

x=53.33333333  ft

The actual diagonal is approximately 53.3 ft

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