Question

An architechtural drawing of an outside deck is 3-1/2 in. wide by 10-7/8 in. long. If the deck will actually be 14 ft wide, find the actual length of the deck (in feet) rounded to one decimal place.

Answer 1

The length of the deck is 43.5 feet

Length of the drawing = 3.5 inches

Width of the drawing = 10.875 inches

Actual width of deck = 14 feet

Actual length of deck = Unknown

Let the actual length of the deck be represented by x. Then, the equation to calculate the length goes thus:

3.5/10.875 = 14/x

Cross multiply

(3.5 × x) = (10.875 × 14)

3.5x = 152.25

Divide both side by 3.5

3.5x/3.5 = 152.25/3.5

x = 43.5

Therefore, the length is 43.5 feet

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