The length of a rectangle is 3 times less 5 the width. If the perimeter is 150 cm, what are the dimensions of the rectangle?

3 w - 5 = L

w + L = 75 so L = (75-w)

3 w - 5 = 75 - w
4 w = 80
w = 20
L = 75 - 20 = 55

2W+2L = 150

2W+2(3W-5) = 150
W = 20 cm.
L = 3W-5 = 60-5 = 55 cm.

Let's assume that the width of the rectangle is "w" cm.

According to the given information, the length of the rectangle will be 3w-5 cm.

The formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.

Substituting the given values, we get:
150 = 2(3w - 5 + w)

Simplifying:
150 = 2(4w - 5)
150 = 8w - 10
8w = 150 + 10
8w = 160
w = 160/8
w = 20

Therefore, the width of the rectangle is 20 cm.

Now, substituting the value of w into the equation for the length:
Length = 3w - 5
Length = 3(20) - 5
Length = 60 - 5
Length = 55

Therefore, the length of the rectangle is 55 cm.

The dimensions of the rectangle are:
Width = 20 cm
Length = 55 cm.

To find the dimensions of the rectangle, let's start by setting up a formula for the perimeter:

Perimeter = 2 * (Length + Width)

We are given that the perimeter is 150 cm. Let's use this information to create an equation:

150 = 2 * (Length + Width)

Now, we need to express the length in terms of the width. We are given that the length is 3 times less 5 the width, which means:

Length = 3 * Width - 5

Substituting the expression for length in the equation for the perimeter, we get:

150 = 2 * (3 * Width - 5 + Width)

Simplifying the equation:

150 = 2 * (4 * Width - 5)

150 = 8 * Width - 10

160 = 8 * Width

Dividing both sides by 8:

20 = Width

Now, we can substitute this value back into the expression for the length:

Length = 3 * Width - 5

Length = 3 * 20 - 5

Length = 60 - 5

Length = 55

Therefore, the dimensions of the rectangle are:

Width = 20 cm
Length = 55 cm