Area or a Irapezold \[ A=\frac{1}{2}\left(b_{1}+b_{2}\right) h \] 6.) A trapezoid has an area of 45 square centimeters. If the bases are 10 and 5

To find the height of the trapezoid, you can rearrange the area formula to solve for \( h \): \[ h = \frac{2A}{b_{1} + b_{2}} = \frac{2 \times 45}{10 + 5} = \frac{90}{15} = 6 \text{ cm}. \] So, the height of the trapezoid is 6 centimeters! Trapezoids can be seen in numerous real-world applications! For example, engineering often uses trapezoidal shapes in design, such as in bridges or buildings, to give those structures strength and stability. The area formula is handy for calculating the amount of material needed for construction projects, ensuring projects stay on budget!