Coordinates and Geometry
Mathematics Worked Examples by Topics
| Number | Mathematical Skills | Applications |
|---|---|---|
| 1 | Number, percentages, and percentiles | Determining the amounts, costs, and dimensions of materials |
| 2 | Ratio | Scaling models, dimensions, shapes, and drawings |
| 3 | Surface area/Volume | Finding costs of quantities, waste amounts |
| 4 | Trigonometry | Calculating angles/lengths of products |
| 5 | Graphs and charts | Using data to make decisions/visualization of data |
| 6 | Coordinates and geometry | Using coordinates for design drawings |
| 7 | Statistics | Using data to make informed design decisions |
Coordinates and Geometry
Question 1)
The table shows the coordinates for some sheet metal. Calculate the area of the sheet metal..
Step 1) Plot the coordinates and draw the shape:
Step 2) Split the shape up and calculate the area:
Area of triangle = 0.5 x base x height = 0.5 x 25 x 50 = 625mm2
Area of rectangle = base x height = 75 x 50 = 3750mm2
Total area = 625 + 3750 = 4375mm2