lynnbabey1
Answered

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The perimeter of a rectangular closet is 24 feet. The closet is 3 feet wide. How long is it?

Sagot :

renknee

Answer:

9 feet

Step-by-step explanation:

The perimeter of a rectangle is 2(l + w) = p, where l = length, w = width, and p = perimeter.

  • In this case, we're given the values of the width and perimeter: 2(l + 3) = 24
  • We can solve this equation algebraically!

Step 1: Distributive the 2 to the terms inside the parentheses.

  • [tex](2)(l) + (2)(3) = 24[/tex]
  • [tex]2l + 6 = 24[/tex]

Step 2: Subtract 6 from both sides.

  • [tex]2l + 6 - 6 = 24 - 6[/tex]
  • [tex]2l = 18[/tex]

Step 3: Divide both sides by 2.

  • [tex]2l/2 = 18/2[/tex]
  • [tex]l = 9[/tex]

Therefore, the length is 9 feet.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

jcherry99

Answer:

The closet is 9 feet long

Step-by-step explanation:

The perimeter of any rectangle is P = 2L + 2w

Givens

Perimeter = P = 24 feet

w = 3 feet

Object

What is the length?

Solution

P = 2L + 2w               Substitute the givens into the formula

24 = 2L + 2*3            Combine

24 = 2L + 6                Subtract 6 from both sides

24-6 = 2L +6 - 6        Combine

18 = 2L                       Divide by 2

18/2 = 2L/2

L = 9

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