Answer:
Length l = 7 in.
Breadth b = 12 in.
Step-by-step explanation:
Given, area of the rectangle = 84 Square inches.
Area of the rectangle = [tex]$ l \times b $[/tex]
where, 'l' is the length and
'b' is the breadth of the rectangle.
Therefore, from the formula and the figure, we would have:
[tex]$ (x - 2) \times (x + 3) = 84 $[/tex]
[tex]$ \implies x^2 - 2x + 3x - 6 = 84 $[/tex]
[tex]$ \implies x^2 + x = 90 $[/tex]
[tex]$ \therefore x = 9 $[/tex]
Therefore, Length, l = x - 2 = 7 in.
Breadth, b = x + 3 = 12 in.
