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To make his house more energy-efficient, Ernest is putting solar film on the large trapezoid-shaped window in his living room. The window has an area of 2525 square feet. The top of the window is 33 feet long, and the bottom is 77 feet long.\newlineWhich equation can you use to find how tall the window is, hh?\newlineChoices:\newline(A) 25=h(3+7)25 = h(3 + 7)\newline(B) 25=12h(3+7)25 = \frac{1}{2}h(3 + 7)\newlineHow tall is the window?\newlineWrite your answer as a whole number or decimal. Do not round.\newline____ feet\newline

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Q. To make his house more energy-efficient, Ernest is putting solar film on the large trapezoid-shaped window in his living room. The window has an area of 2525 square feet. The top of the window is 33 feet long, and the bottom is 77 feet long.\newlineWhich equation can you use to find how tall the window is, hh?\newlineChoices:\newline(A) 25=h(3+7)25 = h(3 + 7)\newline(B) 25=12h(3+7)25 = \frac{1}{2}h(3 + 7)\newlineHow tall is the window?\newlineWrite your answer as a whole number or decimal. Do not round.\newline____ feet\newline
  1. Identify Area Formula: To find the height of the trapezoid window, we need to use the area formula for a trapezoid, which is A=12×(b1+b2)×hA = \frac{1}{2} \times (b_1 + b_2) \times h, where b1b_1 and b2b_2 are the lengths of the two bases, and hh is the height. Given the area is 2525 square feet, the top length is 33 feet, and the bottom length is 77 feet, we can set up the equation using these values.
  2. Simplify Expression: Simplify the expression inside the parentheses: 3+73 + 7 equals 1010.
  3. Multiply by 12\frac{1}{2}: Multiply 12\frac{1}{2} by 1010 to simplify further.
  4. Solve for Height: Solve for hh by dividing both sides of the equation by 55.
  5. Calculate Final Height: Calculate the division to find the height of the window.

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