Length of a rectangle is 5 cm less than twice its width. The perimeter of the rectangle is 26 cm

Let w = width

Let 2w - 5 = length (according to first statement)
Then we set up the equation. Recall that the perimeter of a rectangle is equal to
P = 2L + 2W
where L is length and W is width. Thus,
26 = 2(2w - 5) + 2w
We solve for x:
26 = 4w - 10 + 2w
26 = 6w - 10
36 = 6w
w = 6 cm (width)
2w-5 = 7 cm (length)

Hope this helps~ :3

To find the length and width of the rectangle, we can use the given information about the relationship between their lengths and widths as well as the perimeter.

Let's denote the width of the rectangle as "w" cm.
According to the problem, the length of the rectangle is 5 cm less than twice its width, so the length can be expressed as (2w - 5) cm.

The perimeter of a rectangle is given by the formula:
P = 2(l + w)

Substituting the values we have into this formula:
26 = 2((2w - 5) + w)

Simplifying the equation:
26 = 2(3w - 5)
26 = 6w - 10
36 = 6w
w = 6

Now, we can substitute the value of w back into our expressions for the length and width:
Length = 2w - 5 = 2(6) - 5 = 7

So, the width of the rectangle is 6 cm and the length is 7 cm.

To find the length and width of the rectangle, we can set up a system of equations using the given information.

Let's denote the width of the rectangle as "w" (in cm) and the length as "l" (in cm).

According to the given information, the length is 5 cm less than twice the width. We can express this relationship as:

l = 2w - 5 --- Equation (1)

The perimeter of a rectangle is given by the formula:
P = 2(l + w)

In this case, the perimeter is given to be 26 cm, so we can write:

26 = 2(l + w) --- Equation (2)

Now, we have a system of two equations (Equation 1 and Equation 2) that we can solve simultaneously to find the values of "l" and "w".

To solve this system of equations, we can use substitution or elimination method.

Let's solve by substitution method:

Step 1: Substitute the value of "l" from Equation 1 into Equation 2:

26 = 2((2w - 5) + w)

Step 2: Simplify the equation:

26 = 2(3w - 5)

Step 3: Distribute the 2 on the right side:

26 = 6w - 10

Step 4: Add 10 to both sides:

26 + 10 = 6w

Step 5: Simplify:

36 = 6w

Step 6: Divide both sides by 6:

w = 6

Now, we have found the value of the width, which is 6 cm.

Step 7: Substitute the value of "w" into Equation 1 to find the length:

l = 2(6) - 5

l = 12 - 5

l = 7

So, the length of the rectangle is 7 cm.

Therefore, the dimensions of the rectangle are: width = 6 cm and length = 7 cm.