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geniusboy [140]
3 years ago
12

Please help me solve this question im having trouble!!!!!

Mathematics
3 answers:
Marizza181 [45]3 years ago
8 0

Answer:

To  \: express \:  this \:  as \:  an \:  equation, \:   \\ let \:  L \:  represents \:  \: length \: and \: w \:  = \: width\:   \\ The \: width \: of  rectangle \:  is \:  3 \: feet \:  less  \: than \: \\   5  \: times \:  its \:  length.  \: This  \: tells  \: us \:  that  \: 3  \: \\ will  \: be  \: subtracted  \: from  \: 5l.  \: So,\\ w \: = 5L \: - \: 3. \: \\ \\ Next  \: the \:  area   \:  is \:  14 \:  and \:  since  \: the  \: area  \: of  \: a  \: rectangle \:  is   \\ \: length \times  \: width,  \: it will  \: be  \: expressed  \: as \: \\ 14 \: = L \times w \: since \: w \:  = (5L - 3) \\ 14 = L \times (5L - 3) \\ 14 = 5L {}^{2}  - 3L \\ 5L {}^{2}  - 3L - 14 = 0 \\ factor \: the \: polynomial \\ (5L + 7)(L - 2) = 0 \\ L =  \frac{ - 7}{5}  \: or \: 2 \: but \:  the  \: measurement  \: cannot be  \:  \\ negative  \: so \:  we \:  will \:  consider \:  2  \: instead \:  \\ \\ L = 2 ft \ \\\\ to \: find \: width \:  \\  w \:  =  \: 5L - 3 \\ w \:  =  \: 5(2) - 3 \\ w \:  =  \: 10 - 3 \\ w =  > 7 \: feet

arsen [322]3 years ago
7 0

Answer:

7 feet

Step-by-step explanation:

Yuki888 [10]3 years ago
5 0

Answer:

7 feet

Step-by-step explanation:

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