A rectangular room is 5 meters longer than it is wide, and its perimeter is 22 meters.

a. Letting w represent the width of the rectangle, write an equation that represents the perimeter of the room. = 22

b. Find the width of the room.
The width is: meters.

c. Find the length of the room.
The length is: meters.

P = 2L + 2W

22 = 2(W + 5) + 2W

22 = 2W + 10 + 2W

22 = 4W + 10

12 = 4W

3 = W

a. Sure! Let's call the width of the room "w". Since the length is 5 meters longer than the width, we can represent the length as "w + 5". The equation for the perimeter of the room is then:

2(w + w + 5) = 22

b. To find the width of the room, we can solve the equation. Let's simplify it first:
2(2w + 5) = 22
4w + 10 = 22
4w = 12
w = 3

So, the width of the room is 3 meters.

c. Now, let's find the length of the room using the width we just found. Since the length is 5 meters longer than the width, it would be 3 + 5 = 8 meters.

So, the length of the room is 8 meters.

a. The equation that represents the perimeter of the room is: 2w + 2(w + 5) = 22.

b. To find the width of the room, we can solve the equation 2w + 2(w + 5) = 22 for w:
2w + 2w + 10 = 22
4w + 10 = 22
4w = 12
w = 12/4
w = 3

Therefore, the width of the room is 3 meters.

c. Now that we have the width, we can find the length by using the given information that the length is 5 meters longer than the width. So, the length is w + 5:
l = w + 5
l = 3 + 5
l = 8

Therefore, the length of the room is 8 meters.

a. To represent the perimeter of a rectangle, we sum the lengths of all its sides. In this case, the perimeter is given to be 22 meters. Let's denote the width of the rectangle as w. Since the length is 5 meters longer than the width, the length can be represented as (w + 5).

The equation for the perimeter of the room is 2w + 2(w + 5) = 22.

b. To find the width of the room, we need to solve the equation for w. First, let's simplify the equation:

2w + 2(w + 5) = 22
2w + 2w + 10 = 22
4w + 10 = 22
4w = 12
w = 3

Therefore, the width of the room is 3 meters.

c. To find the length of the room, we can substitute the value of w into the expression for the length (w + 5):

Length = w + 5
Length = 3 + 5
Length = 8

Therefore, the length of the room is 8 meters.

8+8+3+3=22