Question

Find the area of the isosceles trapezoid. Round answers to the nearest hundredths. Splitting the trapezoid into 2 triangles and a rectangle, we can sum up the areas to find the area of the trapezoid. The area of each right triangle is square units. The area of the rectangle is square units. The area of the trapezoid is square units.

Answer 1

To find the area of a triangle, use the formula 1/2 × base × height, making sure measurements are in the same units and the final answer has the correct significant figures.

Step-by-step explanation:

The task involves calculating the area of a triangle given the measurements for its base and height. The formula used for this calculation is 1/2 × base × height. Precision is key, as you have to express the area to the correct number of significant figures.

For example, if a triangle's base is 1.007 m (which is 100.7 cm, since 1 m = 100 cm) and height is 0.665 m (which is 66.5 cm), the area calculation in square centimeters would be:

Area = 1/2 × 100.7 cm × 66.5 cm

Area = 1/2 × 6696.55 cm²

Area = 3348.275 cm²

Here, the base and height should be converted to the same units (cm) before multiplying, and significant figures should be considered based on the given figures.