Answered

Find expert advice and community support for all your questions on IDNLearn.com. Join our interactive community and access reliable, detailed answers from experienced professionals across a variety of topics.

the width of a rectangle is 33 centimeters. the perimeter is at least 776 centimeters.
what inequality expresses the length of the rectangle?
what is the area of the rectangle in square centimeters?

Sagot :

Luanaidn
[tex]x-\ length\\ width=33cm\\\\ Perimeter=2width+2length\\\\ 2x+2*33>776\\ 2x+66>776\ \ |Subtract\ 66\\2x>710\\\boxed{x>355cm}\\\\Area=width*length\\ Area>355*33\\ \boxed{Area>11715cm^2} [/tex]

Answer:

Width of the rectangle is given to be 33 centimeters

Let the Length of the rectangle be x centimeters

So, Perimeter of rectangle is given by formula : Perimeter = 2 × (Length + Width)

⇒ Perimeter = 2 × (x + 33)

⇒ Perimeter = 2x + 66

Now, The perimeter of the rectangle is at least 776 centimeters

⇒ Perimeter > 2x + 66

⇒ 776 > 2x + 66

⇒ 2x < 710

⇒ x < 355

So, The length of the rectangle must be less than 355 cm

⇒ Area of the rectangle < 355 × 33

⇒ Area of the rectangle < 11715 cm²

Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. IDNLearn.com provides the answers you need. Thank you for visiting, and see you next time for more valuable insights.