3. A trapezoid with bases that measure 5 centimeters and 7 centimeters has a height of 4.5 centimeters. What is the area of the trapezoid?
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To find the area of a trapezoid, you can use the formula: Area = (1/2) × (Base1 + Base2) × Height. Plugging in your values, we have Base1 = 5 cm, Base2 = 7 cm, and Height = 4.5 cm. So, the area equals (1/2) × (5 + 7) × 4.5 = (1/2) × 12 × 4.5 = 27 cm². Voilà! The area of the trapezoid is 27 square centimeters. The trapezoid is a uniquely versatile shape that appears in various architectural designs, from bridges to modern buildings. Its distinct structure allows for more efficient distribution of weight, making it a popular choice for engineers and designers. So next time you spot a trapezoidal shape, remember it's not just for math class—it's a functional marvel in real life!