Answer:
width - 5cm
length - 10cm
Step-by-step explanation:
Let's define the variable w as the width of the rectangle. The length of the rectangle would be 2w as given by the problem. A form of the perimeter of a rectangle formula is:
P = 2(l + w)
Where P is the perimeter, l is the length, and w is the width. We substitute our length, width, and perimeter to get:
30 = 2(2w + w)
You can simplify to get:
30 = 2(3w)
and divide by 6 on both sides to isolate w:
w = 5cm - the width is 5 cm
The length is twice the width, and 2 x 5 is 10, so 10cm is the length.
