Question

Anyone know how to work this out

Answer 1

Question: Anyone know how to work this out

Answer: Yes, I do.

Explanation:

This is just a way of making a simple linear equation in one variable look like a geometry problem. Because the diagram is a square, you have to know the definition of a square. Applying that, you get an equation. To solve it, you subtract (4x-1) from both sides, and then divide both sides by two.

Answer 2

The length of the side is 20 cm.

Explanation:

All sides in a square are of equal length so we have the equation:

6x - 1 = 4x + 6

6x - 4x = 6 + 1

2x = 7

x = 3.5

So the length of the side = 6(3.5) - 1

= 21 - 1

= 20 cm. (answer).

We can check this result by substituting in the other expression for a side:

4x + 6 = 4(3.5) + 6

= 14 + 6

= 20 cm.