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Question

# If the scale for the figure is given as 1 in :50 ft, find the perimeter of the scale drawing A'B'C' .

A
14 in
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B
20 in
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C
24 in
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D
30 in
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Solution

## The correct option is C 24 inTo find the perimeter of the figure A'B'C', we need to find the lengths of all the sides of the triangle. In the actul drawing: AB = 300 ft. BC = 400 ft. AC = 500 ft. Scale is 1 in:50 ft So, the dimensions in scale drawing are: A'B' = scale × AB =150×300 =6 in B'C' = scale × BC =150×400 =8 in A'C' = scale × AC =150×500 =10 in ∴Perimeter of the traingle A'B'C' =A′B′+B′C′+C′A′ =6+8+10 =24 in

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