Answer :
The answer to the given question is 7 and 4. The dimension of the rectangle are 7 m for the length and 4 m for the width.
First, we need to find the variables.
Let the width = x.
So, the length will be = 3x – 5.
And the area (width x length) = 28
Second, we need to set an equation using the variables and the formula of rectangle's area.
Width x Length = Area
x(3x–5) = 28
3x2 – 5x = 28
3x2 – 5x – 28 = 0
Third, we need to factor the quadratic equation.
(3x + 7) (x – 4) = 0
3x + 7 = 0 or x – 4 = 0
x = –7/3 or x = 4
Since we cannot have a negative dimension, so we discard x = –7/3 and we accept the positive value of x:
x = 4
Now, substitute the value of x into the variables to get the dimensions.
Width = x = 4
Length = 3x – 5 = 3(4) – 5 = 7
So, the dimensions of the rectangle are 7 m for the length and 4 m for the width.
Learn more about dimension of rectangle at: https://brainly.com/question/15225905
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