Question

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

Answer 1

9 feet

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.

• 
  `(2)(l) + (2)(3) = 24`
• 
  `2l + 6 = 24`

Step 2: Subtract 6 from both sides.

• 
  `2l + 6 - 6 = 24 - 6`
• 
  `2l = 18`

Step 3: Divide both sides by 2.

• 
  `2l/2 = 18/2`
• 
  `l = 9`

Therefore, the length is 9 feet.

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

Answer 2

The closet is 9 feet long

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