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

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