Question

The length of a rectangular-shaped deck 5 meters longer than its width. If the area of the deck is 66^2 what is the length in meters?

A. 6
B. 11
C. 14.
D. 19

Answer 1

The answer is: B. 11

Step-by-step explanation:

1. The area of a rectangle is:

`A=LW`

Where
`L` is the length and
`W` is the width.

2. The length of the rectangular-shaped deck is 5 meters longer than its width, therefore:

`L=W+5`

3. You must substitute this into
`A=LW`:

`66=(W+5)W\\W^(2)+5W-66=0`

4. Now you must solve for the width. You can use the Quadratic formula, which is:

`W=\frac{-b+/-\sqrt{b^(2)-4ac}}{2a}`

Where:

`a=1\\b=5\\c=-66`

5. Subsitute values:

`W=\frac{-5+/-\sqrt{5^(2)-4(1)(-66)}}{2(1)}\\W=6`

6. Then, the lenght is:

`L=6m+5m\\L=11m`