Length = 15 inches
Width = 12 inches
Further explanation:
We have to construct equation to solve the situation.
Let x be the width of the rectangle
Then, x+3 will be the length 3 in.longer than it is width
The formula for area is:
[tex]Length*Width = Area\\x(x+3) = 180\\x^2+3x = 180\\x^2 +3x - 180 = 0\\x^2 +15x - 12x -180 = 0\\x(x+15)-12(x+15)=0\\(x-12)(x+15) = 0\\x = 12\ and\ x=-15[/tex]
As the length measurements cannot be negative, we will only use the positive value
so, width = 12 inches
and Length = x+3 = 12+3 = 15 inches
Keywords: Rectangle area, finding areas of rectangles
Learn more about rectangles at:
#LearnwithBrainly
