connerjosephdep4tgt5
connerjosephdep4tgt5 connerjosephdep4tgt5
  • 27-02-2019
  • Mathematics
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This diagram shows a scale drawing for a corner table. If the scale factor is 1 in. = 3 ft, what is the area of the actual table?

This diagram shows a scale drawing for a corner table If the scale factor is 1 in 3 ft what is the area of the actual table class=

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MsRay
MsRay MsRay
  • 27-02-2019

Answer:

18 ft²

Step-by-step explanation:

The general formula for the area of a triangle is:

A = [tex]\frac{1}{2}[/tex]bh, where 'b' is the measure of the base and 'h' is the measure of the height.  

With the given triangle the base and height are both equal to 2 in, or 6 ft:

[tex]\frac{inches}{feet}=\frac{1}{3}=\frac{2}{6}[/tex]

Since each side of the table is actually 6 feet in measure:

A =  [tex]\frac{1}{2}[/tex](6)(6) = 18 ft²

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