Question

May you please help me this problem! Im very confused!

Answer 1

Data

• Formula of area of a rectangle (,A,):

`A=l\cdot w`

• Area: 33 ft

,

• Clients request:

`l=7w-4`

Procedure

As we have two equations, we can replace the second in the first:

`A=(7w-4)\cdot w`

Simplifying:

`A=7w^2-4w`

Also, as we know the area we get the following equation:

`33=7w^2-4w`
`0=7w^2-4w-33`

With the latter equation, we can use the General Quadratic Formula to get the values.

`w_1=2.476`
`w_2=-1.904`

We have to take the positive value as the with cannot be negative.

Finally, replacing this value in the second equation we get the length:

`l=7\cdot2.476-4`
`l=13.332`

Answer:

• Length - 13.332 ft

,

• With - 2.476 ft