Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

I need answers for this.

I Need Answers For This class=

Sagot :

sqdancefan

Answer:

  • 2((4a +1) +8) cm
  • 8a +18 cm
  • 8a +18 = 42

Step-by-step explanation:

For the first line, you are copying the dimensions from the figure to the blanks. The dimensions on the figure are (4a +1), and (8), both in centimeters. When you have filled in that line, it will read ...

  2((4a +1) +8) cm

__

For the second line, you must collect terms and use the distributive property to eliminate parentheses from the above expression.

  2((4a +1) +8) cm = 2(4a +9) cm = 2(4a) +2(9) cm

  = 8a +18 cm

__

The third line simply sets this expression equal to the given perimeter, 42:

  8a +18 = 42

_____

Additional comment

To solve this equation, you can subtract 18 from both sides:

  8a +18 -18 = 42 -18

  8a = 24 . . . . . . . . . . . simplify

Then divide both sides by 8.

  8a/8 = 24/8

  a = 3

Finally, the length of the rectangle is ...

  4a +1 = 4(3) +1 = 12 +1 = 13

The rectangle is 13 cm long and 8 cm high. Its perimeter is ...

  2(13 +8) = 2(21) = 42 . . . cm

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.