[ASK] What is the area of the wall?

[Monoxdifly]

After watching hours of those home improvement shows, you decide you want to paint you bedroom. You don't want to paint all four walls the same color (how boring!), but instead, you want to paint one wall a different color. The electric orange paint you've chosen for the "special" wall is more expensive, and you're on a budget, so you need to know the area of the wall so you can buy the smallest amount of paint possible. You know that the height of the wall is half the length. You also know that the perimeter of the rectangular wall is 48 feet. What is the area of the wall?
A. The area of the wall is 128 sq.ft.
B. The area of the wall is 116 sq. ft.
C. The area of the wall is 144 sq. ft.
D. The area of the wall is 140 sq. ft.
E. The area of the wall is 416 sq. ft.
F. The area of the wall is 136 sq. ft.

How to do it without knowing the price difference of the paint?

 

[MarkFL]

We know (measures are in feet):

\(\displaystyle w+h=24\)

\(\displaystyle w=2h\)

This implies:

\(\displaystyle (h,w)=(8,16)\)

And so the area of the wall in square feet is:

\(\displaystyle A=hw=8\cdot16=128\)

The price of the paint is not involved in finding the area of the wall. :)

 

[Wilmer]

Mr.Fly, stay away from electric orange paint: bad for the eyes!

 

[Monoxdifly]

Mr.Fly, stay away from electric orange paint: bad for the eyes!

Are you Denis McField from the Fusion Dimension?

 

[Wilmer]

Are you Denis McField from the Fusion Dimension?

Of course...disguised as Sir Wilmer...

 

[Monoxdifly]

Oh... Nice to see you here...