Pythagoras in practical problems; Perimeters and areas of standard/composite shapes including sectors and ovals; Area-unit conversions; Irregular-area estimates, overlaid grids and Simpson rule
Example 1
A trapezium has parallel sides 6m and 16m and perpendicular height 5m. Find its area.
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Answer: 55
- Area = ½(sum of parallel sides)× perpendicular height.
Example 2
A circle has radius 6m. Find its area, using π. Round to 2 decimal places.
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Answer: 113.10
- A=πr2.
- Rounded result: 113.10.
Example 3
A rectangular floor is 8m by 8m, with a 3m by 4m rectangular corner removed. Find the remaining area.
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Answer: 52
- Subtract the removed rectangle’s area from the outer rectangle’s area.