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This diagram shows the plan for a wooden deck. The scale dimensions of the deck are shown. 4 in. 3 in. 3 in. 2 in. If the scale used in the diagram is ā in. = 1ft, what is the perimeter of the actual deck? a 3 ft 36 ft 12 ft d 48 ft

This diagram shows the plan for a wooden deck. The scale dimensions of the deck are-example-1

1 Answer

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Given the diagram for a wooden deck

The scale used is :


(1)/(4)in=1ft

Convert the given dimension to the actual dimensions

so,


\begin{gathered} (1)/(4)in\colon1ft=\text{given:actual} \\ \text{Actual}=4\cdot\text{given} \end{gathered}

So, the actual dimensions are : 16 ft , 12 ft , 8 ft , 12 ft

So, the perimeter will be :


16+12+8+12=48ft

So, the answer is option d. 48 ft

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