Final answer:
To calculate the area of a parallelogram, the formula is base × height. For the triangle cut from parallelogram, the triangle's area should be subtracted from the parallelogram's area to find the remaining area. Scale and measurement problems involve converting scale measurements and applying them to find real-world dimensions.
Step-by-step explanation:
Understanding Parallelogram and Triangle Areas
To calculate the area of a parallelogram, we use the formula Area = base × height. For Parallelogram 1 with a base of 26 centimeters and a height of 15 centimeters, the area is 26 cm × 15 cm = 390 cm2. Parallelogram 2, being identical, also has an area of 390 cm2.
When a triangle is cut from the parallelogram, to find the remaining area, we first need to calculate the triangle's area using the formula Area of a Triangle = 1/2 × base × height. If the base is 8 centimeters, we need the height to proceed. Assuming we have the triangle's height, we subtract its area from the parallelogram's area to find the remaining area.
For the Scale and Measurement problems, we use the given scales to convert the measurements from the drawing to real-life dimensions. For example, if a meeting room's scale measurement is 1.5 cm by 2.5 cm, and the scale is 1 cm = 2 meters, the actual area is calculated by converting these measurements to meters and then multiplying them. Similarly, scale models and maps can be used to represent larger real-world dimensions in a more manageable size.