the length of a rectangle is 7cm more than its breadth.If the perimeter is 62cm, find the length and breadth.
width --- x
length --- x+7
2x + 2(x+7) = 62
solve for x
To find the length and breadth of the rectangle, we can use the given information about the perimeter and the relationship between the length and breadth.
Let's denote the breadth of the rectangle as "x" cm.
According to the given information, the length of the rectangle is 7 cm more than its breadth, so the length can be represented as "x + 7" cm.
The formula for the perimeter of a rectangle is:
Perimeter = 2(length + breadth)
Substituting the given values into the formula, we have:
62 = 2(x + (x + 7))
Simplifying the equation, we get:
62 = 2(2x + 7)
62 = 4x + 14
Rearranging the equation, we have:
4x = 62 - 14
4x = 48
Dividing both sides of the equation by 4, we get:
x = 12
So, the breadth of the rectangle is 12 cm.
Substituting the value of x back into the equation for the length, we get:
Length = x + 7 = 12 + 7 = 19 cm
Therefore, the length of the rectangle is 19 cm and the breadth is 12 cm.