Question

The width of a rectangle is 1 units less than the length. The area of the rectangle is 30 units. What is the length, in units, of the rectangle?

Answer 1

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

$30=L*(L-1)\\\\30=L^2-L$

Subtracting '30' both sides:

$L^2-L-30=0\\\\L^2+5L-6L-30=0$

Taking common from the equation:

$L(L+5)-6(L+5)=0\\\\(L+5)(L-6)=0\\\\L+5=0\\L=-5 units\\\\OR\\\\L-6=0\\L=6 units$

The length cannot be negative, therefore: Length=6 units

Width=Length-1

=6-1

=5 units