The ratio of the length to the width of a rectangle is 2:3 . The width is 12cm. Find the length

To find the length of the rectangle, we can set up a proportion using the given ratio.

Let's denote the length as L and the width as W.

The ratio of the length to the width is given as 2:3, which can be expressed as L/W = 2/3.

We are given that the width is 12cm, so W = 12.

Substituting this value into the proportion, we have L/12 = 2/3.

To solve for L, we can cross multiply: L * 3 = 12 * 2.

Simplifying the equation, we have 3L = 24.

Finally, we can solve for L by dividing both sides by 3: L = 24/3.

L = 8 cm.

Therefore, the length of the rectangle is 8 cm.