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I need answers for this.

I need answers for this.-example-1
User Finola
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1 Answer

7 votes

Answer:

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

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

User Shanakay
by
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