Question

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 the width of the actual floor is 32 ft, what is the actual diagonal distance across the floor?

Answer 1

53.3 ft

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