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=h(3+7)(B) 25=21h(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=h(3+7)(B) 25=21h(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. Given the area is 25 square feet, the top length is 3 feet, and the bottom length is 7 feet, we can set up the equation using these values.
Simplify Expression: Simplify the expression inside the parentheses: 3+7 equals 10.
Multiply by 21: Multiply 21 by 10 to simplify further.
Solve for Height: Solve for h by dividing both sides of the equation by 5.
Calculate Final Height: Calculate the division to find the height of the window.
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