Respuesta :
Answer:
If the width is 5 cm and the length is 4 cm it satisfies both parts.
6 x 4 = 24
24 - 5 = 19
5 x 4 = area of 20
Step-by-step explanation:
The width and length of the rectangle are 4 and 5 respectively.
How to find the area of a rectangle?
The area of a rectangle can be found by multiplying the length and the width.
Area = Length*Width
We can find the length and width of the rectangle as shown below:
Let the width be x.
Therefore the length can be written as 6x - 19.
The area of the rectangle is given as 20 cm².
Area = Length*Width
20 = (6x - 19)*x
20 = 6x² - 19x
6x² - 19x - 20 = 0
6x² - 24x + 5x -20 = 0
6x(x - 4) + 5(x - 4) = 0
(6x + 5)(x - 4) = 0
x = -5/6, 4
But we are trying to find the width of a rectangle. It cant be negative. Therefore x = 4.
So, Length = 6x - 19
= (6*4) - 19
= 5
Therefore, we have found that the width and length of the rectangle are 4 and 5 respectively.
Learn more about the area of a rectangle here: https://brainly.com/question/25292087
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