A restaurant manager needs to rope off a rectangular section for a private party. The length of the section must be 7.4 m. The manager can use no more than 23 m of rope. Which inequality could you use to find the possible widths of the roped off section

Respuesta :

Answer:

[tex]14.8+2W\leq 23[/tex]

The value of the width must be less than or equal to 4.1 meters

Step-by-step explanation:

we know that

The perimeter of the rectangular section is given by

[tex]P=2L+2W[/tex]

we have

[tex]L=7.4\ m[/tex]

substitute

[tex]P=2(7.4)+2W[/tex]

[tex]P=14.8+2W[/tex]

Remember that

The manager can use no more than 23 m of rope

so

The perimeter must be less than or equal to 23 m

[tex]14.8+2W\leq 23[/tex]

solve for W

subtract 14.8 both sides

[tex]2W\leq 23-14.8[/tex]

[tex]2W\leq 8.2[/tex]

divide by 2 both sides

[tex]W\leq 4.1\ m[/tex]

The value of the width must be less than or equal to 4.1 meters

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