The perimeter of the rectangle is 24 cm. The length of the rectangle is twice its width.

The perimeter of the rectangle is 24 cm. The length of the rectangle is twice its width. Calculate the length and width of this rectangle.

Let x be the width of the rectangle
Then 2x the length of the rectangle
It is known that the perimeter of a rectangle is 24 cm
P = 2 (a + b)
P = 2 (2x + x)
P = 4x + 2x
make up the equation:
1) 4x + 2x = 24
6x = 24
x = 24: 6
x = 4 (cm) -the width of the rectangle
2) 4 * 2 = 8 (cm) -the length of the rectangle
answer: 4 cm width, 8 cm length