A rectangle is 5cm longer that it is broad. It perimeter is 26cm. Find the length and breadth of the rectangle
2 b + 2 (b+5) = 26
Let's assume the breadth of the rectangle is x cm.
According to the given information, the length of the rectangle is 5 cm longer than its breadth, so the length would be (x + 5) cm.
The formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the breadth.
Substituting the values into the formula, we have 26 = 2(x + 5) + 2x.
Simplifying the equation, we get 26 = 2x + 10 + 2x.
Combining like terms, we have 26 = 4x + 10.
Subtracting 10 from both sides of the equation, we get 16 = 4x.
Dividing both sides by 4, we find x = 4.
So, the breadth of the rectangle is 4 cm.
The length of the rectangle would be (x + 5) = (4 + 5) = 9 cm.
Therefore, the length of the rectangle is 9 cm and the breadth is 4 cm.
To find the length and breadth of the rectangle, we can set up some equations based on the given information.
Let's assume the breadth of the rectangle is "x" cm. Since the length is 5 cm longer than the breadth, the length will be "x + 5" cm.
The perimeter of a rectangle can be calculated by adding twice the length and twice the breadth. So, we can set up the equation:
2(length) + 2(breadth) = perimeter
Substituting the values we have:
2(x + 5) + 2(x) = 26
Simplifying the equation:
2x + 10 + 2x = 26
4x + 10 = 26
4x = 26 - 10
4x = 16
x = 16/4
x = 4
Now, we know that the breadth of the rectangle is 4 cm. Substituting this value back into the equation for the length:
Length = x + 5 = 4 + 5 = 9 cm
So, the length of the rectangle is 9 cm, and the breadth is 4 cm.