Tutors Answer Your Questions about Rectangles (FREE)
Question 1199156: The screen size of a television is determined by the length of the diagonal of the rectangular screen. Traditional TVs come in 4 : 3 format, meaning the ratio of the length to the width of the rectangular screen is 4 to 3. What is the area of a 37-inch Traditional TV screen? What is the area of a 37-inch LCD TV whose screen is in a 16 : 9 format? Which screen is larger?
Hint given but the textbook:
If x is the length of a 4 : 3 format screen, then (3x/4)is the width.
Let me see.
I know what x represents. I will say let y = length of a 16 : 9 format screen. If this is true, then 9y/16 is the width.
My set up for x goes like this:
37 = x(3x/4)
Solving for x, I get 7.024.
My set up for y goes like this:
37 = y(9y/16)
Solving for y,I get 8.11035.
I see that y > x,meaning the LCD TV screen format is bigger.
However, according to the textbook,I am wrong.
Textbook Answer:
The screen of a 37-inch TV in 4 : 3 format has an area of 657.12 in^2.
The screen of a 37-inch TV in 16 : 9 format has an area of 587.97 in^2.
According to the textbook, the traditional TV has the bigger screen.
Questions:
1. What did I do wrong?
2. What is the correct set up for each TV to find the area?
Click here to see answer by josgarithmetic(39617)  |
Question 1199156: The screen size of a television is determined by the length of the diagonal of the rectangular screen. Traditional TVs come in 4 : 3 format, meaning the ratio of the length to the width of the rectangular screen is 4 to 3. What is the area of a 37-inch Traditional TV screen? What is the area of a 37-inch LCD TV whose screen is in a 16 : 9 format? Which screen is larger?
Hint given but the textbook:
If x is the length of a 4 : 3 format screen, then (3x/4)is the width.
Let me see.
I know what x represents. I will say let y = length of a 16 : 9 format screen. If this is true, then 9y/16 is the width.
My set up for x goes like this:
37 = x(3x/4)
Solving for x, I get 7.024.
My set up for y goes like this:
37 = y(9y/16)
Solving for y,I get 8.11035.
I see that y > x,meaning the LCD TV screen format is bigger.
However, according to the textbook,I am wrong.
Textbook Answer:
The screen of a 37-inch TV in 4 : 3 format has an area of 657.12 in^2.
The screen of a 37-inch TV in 16 : 9 format has an area of 587.97 in^2.
According to the textbook, the traditional TV has the bigger screen.
Questions:
1. What did I do wrong?
2. What is the correct set up for each TV to find the area?
Click here to see answer by greenestamps(13200)  |
Question 1201955: If (3, 1) and (6, 4) are the coordinates of two corners of a square, which of the following points is not a possible coordinate of the other corners of the square?
(A) (3, 4)
(B) (6, 1)
(C) (0, 4)
(D) (9, 1)
(E) (4, 6)
Click here to see answer by ikleyn(52781)  |
Question 1202377: Let $ABCD$ be a rectangle having an area of 290. Let $E$ be on $\overline{BC}$ such that $BE:EC=3:2$. Let $F$ be on $\overline{CD}$ such that $CF:FD=3:1$. If $G$ is the intersection of $\overline{AE}$ and $\overline{BF}$, compute the area of $\triangle{BEG}$.
Click here to see answer by josgarithmetic(39617) |
Question 1202377: Let $ABCD$ be a rectangle having an area of 290. Let $E$ be on $\overline{BC}$ such that $BE:EC=3:2$. Let $F$ be on $\overline{CD}$ such that $CF:FD=3:1$. If $G$ is the intersection of $\overline{AE}$ and $\overline{BF}$, compute the area of $\triangle{BEG}$.
Click here to see answer by math_tutor2020(3816) |
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