The length of rectangular garden 5m longer than its breadth . If the perimeter is 150 than find its area of garden
L = B + 5
P = 2 ( B + L ) = 150
2 ( B + B + 5 ) = 150
2 ( 2 B + 5 ) = 150
Divide both sides by 2
2 B + 5 = 75
Subtract 5 to both sides
2 B = 70
B = 70 / 2 = 35 m
L = B + 5 = 35 + 5 = 40 m
A = L ∙ B = 40 ∙ 35 = 1400 m²
Let's assume the breadth of the rectangular garden as "x" meters.
According to the given information, the length of the rectangular garden is 5 meters longer than its breadth. Therefore, the length would be (x + 5) meters.
The perimeter of a rectangle is given by the formula:
Perimeter = 2(length + breadth)
Substituting the given values, we have:
150 = 2((x + 5) + x)
Expanding the equation, we get:
150 = 2(2x + 5)
Now, let's solve for 'x':
Dividing both sides of the equation by 2:
75 = 2x + 5
Subtracting 5 from both sides:
70 = 2x
Dividing both sides of the equation by 2:
35 = x
So, the breadth of the rectangular garden is 35 meters.
Now, let's calculate the length:
Length = x + 5 = 35 + 5 = 40 meters.
The area of a rectangle is given by the formula:
Area = length × breadth
Substituting the values we found, we have:
Area = 40 × 35
Calculating the area, we get:
Area = 1400 square meters.
Therefore, the area of the garden is 1400 square meters.
To find the area of the rectangular garden, we need to know the length and breadth of the garden. Given that the length of the garden is 5m longer than its breadth, we can express the length as the breadth plus 5m.
Let's represent the breadth of the garden as 'x' meters.
So, the length of the garden is x + 5 meters.
The perimeter of a rectangle is given by the formula: Perimeter = 2(length + breadth).
Using the given perimeter, we can set up the equation:
150 = 2((x + 5) + x)
Now we can solve for x:
150 = 2(2x + 5)
150 = 4x + 10
Subtracting 10 from both sides:
140 = 4x
Dividing both sides by 4:
x = 35
Now we know that the breadth of the garden is 35 meters.
To find the length, we can substitute the value of x back into the expression for the length:
Length = x + 5
Length = 35 + 5
Length = 40 meters
The area of a rectangle is given by the formula: Area = length * breadth.
Now we can calculate the area of the garden:
Area = 40 * 35
Area = 1400 square meters
Therefore, the area of the rectangular garden is 1400 square meters.