Question

The width of a rectangle is 7 units less than the length. The area of the rectangle is 18 units. What is the length, in units, of the rectangle?

Answer 1

Length = 9 units

Step-by-step explanation:

Step 1;

   Let us consider that Width be W , Length be L and Area be A.

Area of Rectangle (A)  = $L * W$ units

Where, L =  Length of Rectangle

            W= Width of Rectangle

Step 2:

   Here, L =L units

             W= L-7 units

              A= 18 units

From the Basic Formula, A= L $*$ W units

                                          A = (L-7) $*$ L  

                                           18 = $L^{2} - 7*L$

For further simplification

$L^{2} -7*L-18=0$

On simplifying Length (L) = 9 units

                          Width (W) = L-7= 9-7 = 2 units