SOLUTION: You are planning on putting a new digital TV on a wall that is 12 feet long and 9 feet high. The digital TV has a diagonal of 72in. The length of the TV is twice the width of the

Question 240504: You are planning on putting a new digital TV on a wall that is 12 feet long and 9 feet high. The digital TV has a diagonal of 72in. The length of the TV is twice the width of the TV. How much of the wall will still need to be decorated around the TV?
We have tried to input doubling the length. We used the numbers 48 and 24. But when we put the numbers into the therom, they did not match up.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
You are planning on putting a new digital TV on a wall that is 12 feet long and 9 feet high.
The digital TV has a diagonal of 72in.
The length of the TV is twice the width of the TV.
How much of the wall will still need to be decorated around the TV?
:
The area of the wall: 12 * 9 = 108 sq/ft
:
Find the dimensions of the TV using a^2 + b^2 = c^2
where
a = x
b = 2x (twice the width)
c = 72
:
x^2 + (2x)^2 = 72^2
:
x^2 + 4x^2 = 5184
:
5x^2 = 5184
:
x^2 =
:
x^2 = 1036.8
x =
x = 32.2 inches is the width of the TV
:
The dimensions of the TV; 32.2 by 64.4 inches (length is twice the width)
The area: 32.2 * 64.4 = 2073.68 sq/inches
Convert to sq/ft = 14.4 sq/ft
:
Find the remaining area on the wall
108 - 14.4 = 93.6 sq/ft
RELATED QUESTIONS
You are planning to put a new digital flat TV on a wall that is 12 ft long and 9 ft... (answered by mananth)

How many 32 inch tvs can you fit on a 19'4" high and 19' wide wall? (answered by FrankM)

You just received a shipment of 12 televisions. 4 of the televisions are defective. If 2... (answered by Big Poop)

A plasma TV company determines that its total profit on the production and sale of x TVs... (answered by stanbon)

you have a coupon for $100 off the price of a TV. When you arrive at the store, you find... (answered by Theo,ikleyn,josgarithmetic)

2.)Suppose the warranty period on your family�s new television is about to expire and you (answered by stanbon)

A television weighs 50 pounds and a microwave weighs 30 pounds. A TV occupies 4 ft.� and (answered by Theo)

A store sells televisions for $360 and digital video recorders for $270. At the beginning (answered by greenestamps)

According to AccuData Media Research, 36% of televisions within the chicago city limits... (answered by stanbon)