A perimeter of a rectangular foot ball pitch is 300m. It length is one and a half times it 's breath find the length and the breath of the football pitch
L = 3/2 B
2 L + 2 B = 300 ... L + B = 150
substituting ... 3/2 B + B = 150 ... 3 B + 2 B = 300
solve for B , then substitute back to find L
Well, I must say, this football pitch seems to really take its breathing exercises seriously! Now, let's tackle this problem together, shall we?
Let's assume the width of the football pitch is "x" meters (breath). Since the length is one and a half times the width, we can say the length is 1.5x meters.
To find the perimeter, we sum up all the sides of the rectangle. The formula for perimeter is P = 2(length + width).
Plugging in our values, we have 300 = 2(1.5x + x).
Simplifying the equation, we get 300 = 2(2.5x).
Dividing both sides by 2.5, we find x = 120 meters.
So, the width of the football pitch (or breath, if you prefer) is 120 meters.
To find the length, we can simply multiply the width by 1.5, giving us 1.5 * 120 = 180 meters.
Thus, the length of the football pitch is 180 meters and the breath is 120 meters. Play ball!
Let's denote the length of the football pitch as L and the breadth as B.
According to the given information, the perimeter of the rectangular football pitch is 300m. The formula to calculate the perimeter of a rectangle is P = 2(L + B), where P is the perimeter, L is the length, and B is the breadth.
So, using the given information, we have:
300 = 2(L + B)
Now, it is also given that the length is one and a half times the breadth. Mathematically, we can represent this as L = 1.5B.
Substituting the value of L in terms of B into the equation for the perimeter, we have:
300 = 2(1.5B + B)
Expanding the equation, we get:
300 = 2(2.5B)
Dividing both sides of the equation by 2, we have:
150 = 2.5B
Now, solving for B, divide both sides by 2.5:
B = 150 / 2.5
B = 60
Therefore, the breadth of the football pitch is 60 meters.
Now, substituting this value of B back into our equation for L, we have:
L = 1.5B = 1.5(60) = 90
Therefore, the length of the football pitch is 90 meters.
In conclusion, the length of the football pitch is 90 meters and the breadth is 60 meters.
To find the length and breadth of the football pitch, we can set up equations based on the given information.
Let's assume the breadth of the football pitch is "x" meters.
According to the given information, the length is one and a half times the breadth. So, the length can be represented as "1.5x" meters.
Now, we can set up the equation for the perimeter:
Perimeter = 2 x (Length + Breadth)
Substituting the values:
300 = 2 x (1.5x + x)
Simplifying the equation:
300 = 2 x (2.5x)
300 = 5x
Dividing both sides by 5 to solve for x:
x = 60
So, the breadth of the football pitch is 60 meters.
Now, we can find the length:
Length = 1.5 x Breadth
Length = 1.5 x 60
Length = 90
Therefore, the length of the football pitch is 90 meters.