Answer:
Length=6 units
Width= 5 units
Step-by-step explanation:
Let, Width=W
Length=L
Width= (L-1) units
Area of the rectangle=30 square units
Area of a rectangle= Length*Width
[tex]30=L*(L-1)\\\\30=L^2-L[/tex]
Subtracting '30' both sides:
[tex]L^2-L-30=0\\\\L^2+5L-6L-30=0[/tex]
Taking common from the equation:
[tex]L(L+5)-6(L+5)=0\\\\(L+5)(L-6)=0\\\\L+5=0\\L=-5 units\\\\OR\\\\L-6=0\\L=6 units[/tex]
The length cannot be negative, therefore: Length=6 units
Width=Length-1
=6-1
=5 units
