Respuesta :
The length and width of the rectangle are 6m and 4.5m respectively.
What is the area of a rectangle?
The area of a rectangle i the product of the length and the width of it.
Given, the area of a rectangle is 27 m².
Let, the width of the rectangle is 'a' units.
Therefore, the length of the rectangle is = (2a - 3) units.
Now, a(2a - 3) = 27
⇒ 2a² - 3a - 27 = 0
⇒ 2a² - 9a + 6a - 27 = 0
⇒ a(2a - 9) + 3(2a - 9) = 0
⇒ (2a - 9) (a + 3) = 0
⇒ a = 9/2, -3
⇒ a = 4.5 (dimension can't be negative)
Therefore, the width of the rectangle is 4.5 m.
The length of the rectangle is = (2 × 4.5 - 3)m = 6m.
Learn more about the area of a rectangle here: https://brainly.com/question/4490374
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