I have a sum which I share with u..
Perimeter of rectangle is 2.4m less than (2/5) of perimeter of square. If the perimeter of square is 40m then find the length & breadth.. Given breadth is (1/3) of the length..
I have also a solution which I wnna be post..!!
Perimeter of rectangle= 2/5 ( perimeter of square)
So, ACCORDING TO QUESTION,
2(L+L/3)= (2/5*40)-2.4
2(3L+L)/3= 16-2.4
2*4L/3=13.6
L=(13.6*3)/8*10
L=5.1m
B=5.1/3= 1.7m (answer)
Your answer is correct, but where did that 10 come from in the line above it?
Sure, I'd be happy to help you solve the problem and find the length and breadth of the rectangle.
To find the length and breadth, we'll first set up equations based on the given information and then solve them.
Let's start by finding the perimeter of the rectangle. The formula for the perimeter of a rectangle is P = 2 * (Length + Breadth).
Given that the perimeter of the rectangle is 2.4m less than (2/5) of the perimeter of the square, we can write the equation:
P_rectangle = (2/5) * P_square - 2.4
Next, we know that the perimeter of the square is 40m, so we substitute this value into the equation:
P_rectangle = (2/5) * 40 - 2.4
Simplifying the equation, we get:
P_rectangle = 16 - 2.4
P_rectangle = 13.6m
Now, let's use the information that the breadth is (1/3) of the length. Let's represent the length as 'L' and the breadth as 'B'. The equation for the breadth would be:
B = (1/3) * L
Substituting this breadth equation into the perimeter equation, we get:
2 * (L + (1/3)*L) = 13.6
Simplifying further, we have:
2 * (4/3 * L) = 13.6
8/3 * L = 13.6
L = (13.6 * 3) / 8
L = 5.1m
Now that we have the value for 'L', we can find the value for 'B' using the breadth equation:
B = (1/3) * 5.1
B = 1.7m
Therefore, the length of the rectangle is 5.1m and the breadth is 1.7m.
I hope this helps you solve the problem!