The length of a rectangle is 6cm longer than its width.
If the perimeter of the rectangle is76cm, find its length and width.
Let the width of the rectangle be x cm.
Therefore, the length of the rectangle is (x+6) cm.
The perimeter of a rectangle is given by the formula: 2(length + width)
So, we can write the equation for the perimeter as:
2(x + (x+6)) = 76
2(2x+6) = 76
4x + 12 = 76
4x = 64
x = 16
Therefore, the width of the rectangle is 16 cm and the length is (16+6) = 22 cm.