4. A trapezoid has an area of 150 square meters. If the bases are 14 meters and 16 meters, A trapezoid has an area of 400 square millimeters. The bases are 14 millimeters what is the height of the trapezoid? and 36 millimeters. What is the height of (Example 3)

To find the height of a trapezoid, you can use the area formula: \[ \text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h \] For the first trapezoid with an area of 150 square meters and bases of 14 meters and 16 meters, you can rearrange the formula to find the height (\( h \)): \[ 150 = \frac{1}{2} \times (14 + 16) \times h \] This leads to \( h = \frac{150 \times 2}{30} = 10 \) meters. For the second trapezoid with an area of 400 square millimeters and bases of 14 millimeters and 36 millimeters: \[ 400 = \frac{1}{2} \times (14 + 36) \times h \] This rearranges to \( h = \frac{400 \times 2}{50} = 16 \) millimeters. Now you have the heights of both trapezoids: 10 meters and 16 millimeters! 🥳 When calculating areas and dimensions, it’s easy to mix up your units, especially when switching between square meters and millimeters. To avoid errors, always double-check that you’re consistent with your measurements and conversions. A small mistake in units can throw off your entire calculation, leading to wrong conclusions—so keep an eye out! ✔️ If you're fascinated by trapezoids, diving into geometry could be a treasure trove of fun! Books like “Geometry For Dummies” or Khan Academy's online resources walk you through all sorts of shapes and their properties. Plus, you can find challenges to test your skills. It's a great way to sharpen your math prowess while tackling exciting problems! 📚