The rectangular garden has a perimeter of 78 meters.
The length is twice the breadth. What is the area of the garden?
width --- x m
length = 2x m
2x + 4x = 78
x = 13
the garden is 13 m by 26 m, and its area = (13)(26) m^2 or 336 m^2
Let's assume the breadth of the rectangular garden is 'x' meters.
According to the given information, the length of the garden is twice the breadth, which means the length is 2x meters.
The formula for the perimeter of a rectangle is given by:
perimeter = 2(length + breadth)
Substituting the given values:
78 = 2(2x + x)
Now, we can solve for 'x' by simplifying the equation:
78 = 2(3x)
78 = 6x
x = 78/6
x = 13
So, the breadth of the garden is 13 meters.
Now, we can find the length by multiplying the breadth by 2:
length = 2 * 13 = 26 meters
The formula for the area of a rectangle is given by:
area = length * breadth
Substituting the values of length and breadth:
area = 26 * 13
area = 338 square meters
Therefore, the area of the garden is 338 square meters.
To find the area of the rectangular garden, we first need to determine the length and breadth of the garden.
Let's assume the breadth of the garden is x meters.
Given that the length is twice the breadth, we know that the length is 2x meters.
The perimeter of a rectangle is given by the formula:
Perimeter = 2(length + breadth)
In this case, the perimeter is 78 meters. So we can set up the equation as follows:
78 = 2(2x + x)
Simplifying the equation:
78 = 2(3x)
78 = 6x
Dividing both sides by 6:
x = 13
So, the breadth of the garden is 13 meters, and the length is 2x = 2(13) = 26 meters.
To find the area, we use the formula:
Area = length × breadth
Area = 26 × 13
Area = 338 square meters
Therefore, the area of the garden is 338 square meters.