Determine the length and breadth of a rectangle if the length is 3cm less than twice the breadth, and the perimeter is 18 .
length+width=9, so
w + 2w-3 = 9
3w = 6
w = 2
oops - heh heh
3w = 12
w = 4
To determine the length and breadth of a rectangle, we can use the given information about the relationship between the length, breadth, and perimeter.
Let's assume the breadth of the rectangle is 'b' cm.
Given that the length is 3 cm less than twice the breadth, we can express it as:
Length = 2b - 3 cm
The formula for the perimeter of a rectangle is:
Perimeter = 2* (Length + Breadth)
In this case, the perimeter is given as 18, so we can substitute the values into the formula and solve for the unknowns.
18 = 2 * (2b - 3 + b)
Now we can simplify and solve the equation:
18 = 2 * (3b - 3)
18 = 6b - 6
6b = 18 + 6
6b = 24
b = 24 / 6
b = 4
Therefore, the breadth of the rectangle is 4 cm.
To find the length, we substitute the value of breadth (b = 4) into the expression for length:
Length = 2b - 3
Length = 2 * 4 - 3
Length = 8 - 3
Length = 5
Therefore, the length of the rectangle is 5 cm.
So, the length is 5 cm and the breadth is 4 cm.