James often helps his grandfather weed the garden. The rectangular garden has a perimeter of 68 metres. The length is 26 metres longer than the breadth. What is the area of the garden?
Raj often helps his grandfather weed the garden. The rectangular garden has a perimeter of 96 metres. The length is 24 metres longer than the breadth. What is the area of the garden?
To find the area of the garden, we first need to determine the length and breadth.
Let's assume the breadth of the garden is 'x' meters.
According to the problem, the length of the garden is 26 meters longer than the breadth. So, the length can be represented as 'x + 26' meters.
Now, we can use the information about the perimeter of the garden to set up an equation.
The perimeter of a rectangle is given by the formula: P = 2(length + breadth)
In this case, the perimeter is given as 68 meters, so we have:
68 = 2(x + 26 + x)
Now, let's simplify the equation:
68 = 2(2x + 26)
68 = 4x + 52
Next, let's isolate the variable 'x':
68 - 52 = 4x
16 = 4x
x = 4
Now that we know the breadth is 4 meters, we can find the length:
Length = x + 26 = 4 + 26 = 30 meters
Finally, to find the area of the garden, we multiply the length by the breadth:
Area = Length × Breadth = 30 × 4 = 120 square meters
Therefore, the area of the rectangular garden is 120 square meters.
James often helps his grandfather weed the garden. The rectangular garden has a perimeter of 68 metres. The length is 26 metres longer than the breadth. What is the area of the garden?
2(b + b+26) = 68
find b, and then the area is just b(b+26)
I get 120 m^2