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Regan has been saving her allowance for months, and she finally has enough to buy a new flat-screen TV! The TV's screen is shaped like a rectangle that is 5050 inches wide. The screen's area is 1,5001,500 square inches.\newlineWhich equation can you use to find the height of the screen, hh?\newlineChoices:\newline(A) 1,500=50h1,500 = 50h\newline(B) 1,500=12(50)h1,500 = \frac{1}{2}(50)h\newlineWhat is the height of the screen?\newlineWrite your answer as a whole number or decimal. Do not round.\newline____ inches\newline

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Q. Regan has been saving her allowance for months, and she finally has enough to buy a new flat-screen TV! The TV's screen is shaped like a rectangle that is 5050 inches wide. The screen's area is 1,5001,500 square inches.\newlineWhich equation can you use to find the height of the screen, hh?\newlineChoices:\newline(A) 1,500=50h1,500 = 50h\newline(B) 1,500=12(50)h1,500 = \frac{1}{2}(50)h\newlineWhat is the height of the screen?\newlineWrite your answer as a whole number or decimal. Do not round.\newline____ inches\newline
  1. Identify TV Screen Height: Regan needs to find the height of her new TV screen. We know the area of the rectangle (screen) and its width. To find the height, we use the formula for the area of a rectangle, which is width multiplied by height. The correct equation from the choices given to represent this is A=wh A = wh where A A is the area, w w is the width, and h h is the height.
  2. Substitute Known Values: Substitute the known values into the equation. The area A A is 11,500500 square inches, and the width w w is 5050 inches. So, 1,500=50h 1,500 = 50h .
  3. Solve for Height: Solve for h h by dividing both sides of the equation by 5050. h=1,50050 h = \frac{1,500}{50} .
  4. Calculate Height: Calculate h h . h=30 h = 30 . This means the height of the TV screen is 3030 inches.

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