a rectangle is three times ad long as its breadth. if the perimeter of rectangle is 40m, find its length and breadth
2(b+3b)=40
b = 5
so 5 and 15
P = 2L + 2W
40 = 2(3W) + 2W
49 = 8W
5 = W
To find the length and breadth of the rectangle, we can set up two equations and solve them simultaneously.
Let's assume the breadth of the rectangle is 'b' meters. According to the given information, the rectangle's length is three times its breadth, so the length would be '3b' meters.
The formula for the perimeter of a rectangle is P = 2(l + b), where 'P' is the perimeter, 'l' is the length, and 'b' is the breadth.
In this case, the perimeter is given as 40 meters, so we can substitute the values into the formula:
40 = 2(3b + b)
Now, we can simplify and solve for 'b':
40 = 2(4b) [using the distributive property]
40 = 8b [simplifying]
b = 40/8 = 5
Hence, the breadth of the rectangle is 5 meters.
To find the length, we can substitute the value of 'b' back into the equation for the length:
l = 3b = 3(5) = 15
Therefore, the length of the rectangle is 15 meters.
In summary, the length of the rectangle is 15 meters, and the breadth is 5 meters.