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The scale on a set of blueprints of a house is 1 in. = 3 ft. On theblueprint, one of the bedrooms measures 3.75 in. wide and 4.5 in. long.What is the perimeter of the actual bedrooni?

User Danijels
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1 Answer

9 votes
9 votes

The given scale is:

1 in = 3 ft

The blueprint measurements:

length = L = 4.5 in

width = W = 3.75 in

To find the perimeter of the actual bedroom, we have to convert the scale to actual length and width.

The actual measurements:

length = L' = 4.5 * 3 = 13.5 feet. (as 1 in = 3 ft)

width = W' = 3.75 * 3 = 11.25 feet

The perimeter (P) of the rectangle is given by:

P = 2*( Length + Width)

or

P = 2* (L' + W')

P = 2* (13.5 + 11.25)

P = 2* (24.75)

P = 49.5 feet

Hence, the perimeter of the bedroom is 49.5 feet.

User Cocotwo
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