The length of the rectangle garden is 15 meters and the width of the rectangle garden is 10 meters.
Perimeter of the rectangle:
Perimeter of the rectangle is defined as the total distance covered by its boundaries or the sides. Since there are four sides of a rectangle, thus, the perimeter of the rectangle will be the sum of all four sides.
The formula for perimeter of the rectangle is,
P = 2 (a + b) units
where
“a” is the length of the rectangle
“b” is the breadth of the rectangle
Given,
A rectangle garden has a length of 5 less than 2 times the width.
The perimeter if 50 meters.
Here we need to find the side lengths of the rectangle garden.
Let w be the width of the garden.
According to the given details, the length is
l =2w - 5
Now apply the values on the perimeter formula,
Then
=> 2 ((2w - 5) + w) = 50
=> 2 (3w - 5) = 50
=> 3w - 5 = 25
=> 3w = 30
=> w = 10 meters.
Apply the value of width on the equation to find the length of the garden.
=> l = (2 x 10) -5
=> l = 20 - 5
=> l = 15 meters.
Therefore, the length of the garden is 15 meters and the width of the garden is 10 meters.
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