The perimeter of a rectangular garden is 44 yards. It's length is 5 yards less than double the width. Find the length and the width of the garden.
2 L + 2 W = 44 ... L + W = 22
L = 2 W - 5
substituting ... 2 W - 5 + W = 22
solve for W , then substitute back to find L
Let's assume the width of the garden is x yards.
According to the given information, the length of the garden is 5 yards less than double the width. So, the length can be represented as 2x - 5 yards.
The perimeter of a rectangle is given by the formula P = 2(length + width).
Substituting the given values, we can write the equation as:
44 = 2(2x - 5 + x)
Simplifying the equation:
44 = 2(3x - 5)
44 = 6x - 10
6x = 44 + 10
6x = 54
x = 54/6
x = 9
So, the width of the garden is 9 yards.
Now, substitute the value of x in the expression for the length:
Length = 2x - 5 = 2(9) - 5 = 18 - 5 = 13
Therefore, the length of the garden is 13 yards and the width is 9 yards.
To find the dimensions of the rectangular garden, we can set up equations based on the given information.
Let's assume the width of the garden is "x" yards.
According to the problem, the length is 5 yards less than double the width, which means the length is (2x - 5) yards.
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. In this case, the perimeter is given as 44 yards, so we can substitute the values:
44 = 2[(2x - 5) + x]
Simplifying the equation:
44 = 2(3x - 5)
44 = 6x - 10
54 = 6x
x = 9
Hence, the width of the garden is 9 yards.
To find the length, substitute the value of x into the equation:
l = 2x - 5
l = 2(9) - 5
l = 18 - 5
l = 13
Therefore, the length of the garden is 13 yards.
In summary, the width is 9 yards and the length is 13 yards.