A rectangles width is 4 less than its area and its length is 19. what is it’s width?

Mathematics

1 answer:

Alchen [17]3 years ago

4 0

The width of the rectangle is $\frac{2}{9}$ 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 = $\frac{-4}{-18}$

- Reduce the fraction by dividing up and down by -2

∴ x = $\frac{2}{9}$

The width of the rectangle is $\frac{2}{9}$ unit

Learn more:

You can learn more about the rectangles in brainly.com/question/12919591

#LearnwithBrainly

You might be interested in

A man drove 5 miles directly east from his home, made a left turn at an intersection, and then traveled 11 miles duc north to hi

lubasha [3.4K]

Answer: About 12.083

Explanation:
In order to solve this you would use Pythagorean theorem.

You are given the length of the two legs (5 and 11)

So by plugging in 5 and 11 into A Squared plus B Squared = C Squared, you get that C^2= 146.

By finding the square root of both sides you get square root of 146, which is approximately 12.803