Question

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

Answer 1

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.

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

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

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