A rectangular flower bed has a perimeter of 9.6m. If its length is twice its breadth, what is area?
Let's start by using the formula for perimeter of a rectangle:
Perimeter = 2(length + breadth)
We know that the perimeter of the flower bed is 9.6m, so we can substitute that into the formula:
9.6 = 2(length + breadth)
We also know that the length is twice the breadth, so we can substitute that in as well:
9.6 = 2(2b + b)
Simplifying the expression inside the parentheses:
9.6 = 2(3b)
9.6 = 6b
Dividing both sides by 6:
b = 1.6
Now we can use the length = 2b equation to find the length:
length = 2(1.6)
length = 3.2
Finally, we can use the formula for area of a rectangle:
Area = length x breadth
Area = 3.2 x 1.6
Area = 5.12 square meters
The area of the rectangular flower bed is 5.12 square meters.