Aussie Maths & Science Teachers: Save your time with SmarterEd
Ken puts two cardboard squares together, as shown in the diagram below.
The squares have areas of 4 cm² and 25cm².
Ken draws a line from the bottom left to top right, and shades the region above the line.
What is the area of the shaded region?
| 13.5 cm² | 14.5 cm² | 17.5 cm² | 19 cm² |
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`text(Small square → 2 cm sides)`
`text(Large square → 5 cm sides)`
| `:.\ text(Shaded Area)` | `= 1/2 xx b xx h` |
| `= 1/2 xx 5 xx 7` | |
| `= 17.5\ text(cm²)` |
Here is a plan of Dave's backyard.
The total area of the paving stones is 18 m².
What is the total area of the grass in Dave's backyard?
| `text(36 m²)` | `text(48 m²)` | `text(54 m²)` | `text(72 m²)` |
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Anthony is tiling one wall of a bathroom.
The wall has 2 identical windows as shown in the diagram below.
What total area does Anthony need to tile?
| square metres |
Pablo cuts a square out of a rectangular piece of paper, as shown below.
The square Pablo cut out has a side length of 6 cm.
Which of these expressions gives the area of Pablo's piece of paper after cutting out the square?
| `(28 xx 20) - (6 xx 6)` | `(22 xx 14) + (6 xx 6)` |
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| `(28 + 20) - (6 + 6)` | `(28 + 20) + (6 xx 6)` |
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