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the blueprint for a triangular deck has side lengths of 4.2 inches, 4.2 inches, and 7.5 inches. if the long side of the actual deck is 22.5 feet, how many feet long are the shorter sides of the deck?

express your answer as a DECIMAL!!!!

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User LobsterBaz
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1 Answer

1 vote

Answer: 12.6 feet long

Explanation:

To find the length of the shorter sides of the actual deck, we can use a scale factor. First, let's determine the scale factor by comparing the long side of the blueprint to the long side of the actual deck.

Scale factor = (Length of actual long side) / (Length of blueprint long side)

Scale factor = (22.5 feet) / (7.5 inches)

Since 1 foot equals 12 inches, we need to convert 22.5 feet to inches:

22.5 feet * 12 inches/foot = 270 inches

Now we can calculate the scale factor:

Scale factor = 270 inches / 7.5 inches

Scale factor = 36

Now we can find the length of the shorter sides of the actual deck by multiplying the length of the shorter sides in the blueprint by the scale factor:

Length of actual short side = (Length of blueprint short side) * Scale factor

Length of actual short side = 4.2 inches * 36

Length of actual short side = 151.2 inches

Finally, convert the length from inches to feet:

Length of actual short side (in feet) = 151.2 inches / 12 inches/foot

Length of actual short side (in feet) ≈ 12.6 feet

The shorter sides of the actual deck are approximately 12.6 feet long.

User Eb
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