Answer and Step-by-step explanation:
To work out the value of x in this problem, we can set up an equation based on the given information:
1. Let's assume the length of the rectangle is x mm.
2. The area of the rectangle is given as 10 mm².
3. The width of the rectangle is given as 14 mm.
4. The formula for the area of a rectangle is A = length * width.
Plugging in the values, we get:
10 = x * 14
To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 14:
10/14 = x
Simplifying the fraction:
0.714 ≈ x
Therefore, the value of x is approximately 0.714 when rounded to 1 decimal place.