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ValentinkaMS [17]
3 years ago
14

HELP ASAP. please show work. the plane of a room in the picture. the scale is 2 inches: 6 feet. what is the actual length, width

, and area?

Mathematics
1 answer:
lina2011 [118]3 years ago
8 0

Answer:

Actual Length: 27 feet - Actual Width: 15 feet - Actual Area: 405 feet

Step-by-step explanation:

First, to find the length, you have to divide 9 by 2 to get 4.5 and then multiply it by 6 to get the actual amount of feet. Then you divide 5 by 2 and multiply the quotient by 6 to get the actual width. Then, you take the actual length (27 feet) and multiply it by the actual width (15 feet) and you get an area of 405 feet

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Let's say Bailey takes "b" days to paint it.

and Andrew takes "a" days to paint the same house.

now, Andrew is 6 times faster than Bailey, therefore, if Andrew takes "a" days to do it, Bailey takes then "6a" days, or b = 6a.

now, the year they worked together, they finished it in 7 days.

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and Andrew for one day, has done 1/a of the house, whilst Bailey has done 1/b of the house or 1/(6a).

\bf \stackrel{\textit{Andrew's rate}}{\cfrac{1}{a}}+\stackrel{\textit{Bailey's rate}}{\cfrac{1}{b}}=\stackrel{\textit{1 day of work}}{\cfrac{1}{7}}
\\\\\\
\cfrac{1}{a}+\cfrac{1}{6a}=\cfrac{1}{7}\impliedby 
\begin{array}{llll}
\textit{let's multiply all by }\stackrel{LCD}{42a}\textit{ to toss the}\\
denominators
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\bf 42a\left( \cfrac{1}{a}+\cfrac{1}{6a} \right)=42a\left( \cfrac{1}{7} \right)\implies 42+7=6a\implies \cfrac{49}{6}=a
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\stackrel{days}{8\frac{1}{6}}=a
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b=6\cdot \cfrac{49}{6}\implies b=\stackrel{days}{49}
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