The width of the rectangle is
unit
Step-by-step explanation:
The given is:
- A rectangles width is 4 less than its area
- Its length is 19 units
We need to find the width of the rectangle
Assume that the width of the rectangle is x units
∵ The area of the rectangle = length × width
∵ The width of the rectangle = x units
∵ The length of the rectangle = 19 units
∴ The area of the square = 19 × x = 19 x units²
∵ The width of the rectangle is 4 less than its area
- That means subtract 4 from the area to find the width
∴ x = 19 x - 4
- Subtract 19 x from both sides
∴ -18 x = -4
- Divide both sides by -18
∴ x = ![\frac{-4}{-18}](https://tex.z-dn.net/?f=%5Cfrac%7B-4%7D%7B-18%7D)
- Reduce the fraction by dividing up and down by -2
∴ x = ![\frac{2}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B9%7D)
The width of the rectangle is
unit
Learn more:
You can learn more about the rectangles in brainly.com/question/12919591
#LearnwithBrainly