THE PERIMETER OF A RECTANGULAR GARDEN IS 40 METERS. THE LENGTH OF THE GARDEN IS 1 METER LESS THAN TWICE ITS WIDTH WHAT ARE THE DIMENSIONS OF THE GARDEN?

width = x

length = 2x - 1
x + x + 2x - 1 + 2x - 1 = 6x - 2
6x = 42
x = 7
length = (2*7) - 1
= 13m

To find the dimensions of the garden, we can set up equations based on the given information and solve them. Let's denote the width of the garden as 'w' and the length as 'l'.

1. The perimeter of a rectangle is given by the formula: Perimeter = 2 * (Length + Width)
Since the perimeter of the garden is 40 meters, we can write the equation as: 40 = 2 * (l + w)

2. The length of the garden is 1 meter less than twice its width.
This can be expressed as an equation: l = 2w - 1

Now, we have two equations:

Equation 1: 40 = 2 * (l + w)
Equation 2: l = 2w - 1

We can substitute the value of 'l' from equation 2 into equation 1.

40 = 2 * ((2w - 1) + w)

Simplifying further:

40 = 2(3w - 1)
40 = 6w - 2
6w = 40 + 2
6w = 42
w = 42 / 6
w = 7

Substituting the value of 'w' back into equation 2:

l = 2 * 7 - 1
l = 14 - 1
l = 13

Therefore, the dimensions of the rectangular garden are 7 meters (width) and 13 meters (length).