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 25 square feet. The top of the window is 3 feet long, and the bottom is 7 feet long.Which equation can you use to find how tall the window is, h?Choices:(A) 25=21h(3+7)(B) 25=h(3+7)How tall is the window?Write your answer as a whole number or decimal. Do not round.____ feet
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 25 square feet. The top of the window is 3 feet long, and the bottom is 7 feet long.Which equation can you use to find how tall the window is, h?Choices:(A) 25=21h(3+7)(B) 25=h(3+7)How tall is the window?Write your answer as a whole number or decimal. Do not round.____ feet
Identify Area Formula: To find the height of the trapezoid window, we need to use the area formula for a trapezoid, which is A=21×(b1+b2)×h, where b1 and b2 are the lengths of the two bases, and h is the height. Here, b1=3 feet, b2=7 feet, and A=25 square feet.
Calculate with Given Values: Plugging in the values into the trapezoid area formula, we get 25=21×(3+7)×h. Simplifying inside the parentheses, 3+7=10.
Simplify Equation: Now, substituting back, we have 25=21×10×h, which simplifies to 25=5×h.
Divide to Find Height: To find h, divide both sides by 5: h=525.
Final Calculation: Calculating the division, h=5.
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