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babunello [35]
3 years ago
14

A rectangle has a side length of 3 feet and an area of 24 squared feet. A larger similar triangle has a corresponding length of

9 feet. Find the area of the larger rectangle.
Mathematics
1 answer:
Zinaida [17]3 years ago
7 0
3*w=24
w=8
9/3=3
8*3=24

9*24=216
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12345 [234]

\huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }

\large\underline{  \boxed{ \sf{✰\: Concept }}}

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\large\underline{  \boxed{ \sf{✛\: Assumptions\:✛ }}}

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\large\underline{  \boxed{ \sf{✰\: let's\:solve }}}

\rm\angle \: p +  \angle \: q = 180 \degree \\

★ Substituting values

\rm { \pink➾ \:( 3x  - 4) + (3x - 8) = 180} \\ \rm { \pink➾}arranging \: and \: solving \: like \: terms \\ \rm { \pink➾ \: 3x + 3x - 4 - 8 = 180} \\ \rm { \pink➾ \: 6x - 12 = 180} \\ \rm  { \pink➾6x = 180  + 12}

\qquad \qquad\rm { \pink➾6x  = 192} \\ \qquad\qquad\rm { \pink➾ \: x =  \frac{ \cancel{192}}{ \cancel6} } \\ \qquad\qquad\rm { \pink➾x = 32}

★ Hence the value

\boxed{↪\underline{  \boxed{ \rm{\: x = 32\green✓}}}↩}

\rule{70mm}{2.9pt}

Hope it helps !

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15 points to answer this question
Mamont248 [21]

it is none since there is no relation

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In every triangle,if one of those three angles has his measure more than 90°,then the triangle is optuse.
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_____________________________________________________________

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Step-by-step explanation:

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