Ms. Rutherford's house is known for being the most modern house in the neighborhood. She is buying new tinted glass for the 4 same-size trapezoidal windows on the front of her house. Each window has a bottom edge that is 2 feet long, a top edge that is 3 feet long, and a height of 4 feet. The glass costs $45 per square foot. How much will Ms. Rutherford pay for the new tinted glass in total?
Answer (2)
Ms. Rutherford will pay $1800 for the new tinted glass for her four trapezoidal windows. Each window has an area of 10 square feet, leading to a total area of 40 square feet for all windows. The total cost is calculated by multiplying the total area by the price per square foot, which is $45.
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Here's how to calculate the total cost for Ms. Rutherford's new tinted glass:
Calculate the area of one trapezoidal window.
The formula for the area of a trapezoid is A = ½ * (base1 + base2) * height.
In this case, base1 = 2 feet, base2 = 3 feet, and height = 4 feet.
Area of one window = ½ * (2 + 3) * 4 = ½ * 5 * 4 = 10 square feet.
Calculate the total area for all four windows.
Since all four windows are the same size, the total area is 4 times the area of one window.
Total area = 4 * 10 square feet = 40 square feet.
Calculate the total cost of the glass.
The cost of the glass is $45 per square foot.
Total cost = 40 square feet * $45/square foot = $1800.
Therefore, Ms. Rutherford will pay $1800 for the new tinted glass in total. ;
