The length of rectangle is 3a+2 inches.
Step-by-step explanation:
Area of rectangle = 12a²-a-6
Width of rectangle = 4a-3
Length of rectangle = l
We know that;
Area of rectangle = Length * width
Length = [tex]\frac{Area\ of\ rectangle}{Width}\\[/tex]
[tex]Length=\frac{12a^2-a-6}{4a-3}\\Length=\frac{12a^-9a+8a-6}{4a-3}\\Length=\frac{3a(4a-3)+2(4a-3)}{4a-3}\\Length=\frac{(4a-3)(3a+2)}{4a-3}\\Length=3a+2[/tex]
The length of rectangle is 3a+2 inches.
Keywords: area, rectangle
Learn more about rectangles at:
- brainly.com/question/9801816
- brainly.com/question/9969022
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