A rectangular chalk board is 3 times as long as it is wide. If it were 3 metres shorter and 3 metres wider, it would be square. What are the dimensions of the chalk board?

3 meters wide
9 meters long

Right.

Thanks!

You're welcome.

To solve this problem, let's break it down step by step:

Let's assume the width of the rectangular chalkboard is "x".

According to the problem, the length of the chalkboard is 3 times the width, which means the length is 3x.

We are also told that if we decrease the length by 3 meters and increase the width by 3 meters, the chalkboard becomes square.

So, the length after the change would be 3x - 3, and the width after the change would be x + 3.

To make a square, the length and width should be equal. Therefore, we can set up the equation:

3x - 3 = x + 3

Let's solve this equation:

3x - x = 3 + 3
2x = 6
x = 3

Now that we have the value of "x," which represents the width, we can calculate the length:

Length = 3x = 3 * 3 = 9

Therefore, the dimensions of the chalkboard are 3 meters wide and 9 meters long.