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Find fencing and floor area, including irregular shapes and equal-perimeter comparisons.
Free examples and worked answers. No account needed.
Practise the method.
Find fencing and floor area, including irregular shapes and equal-perimeter comparisons.
Find fencing and floor area, including irregular shapes and equal-perimeter comparisons.
Example 1
Rectangle A is 7m by 7m. Rectangle B is 5m by 9m. They have the same perimeter. How many square metres greater is A's area?
Show worked answer
Answer: 4
- A has area 7×7=49m2.
- B has area 5×9=45m2.
- The difference is 4m2. Equal perimeters need not mean equal areas.
Example 2
How many square metres of carpet cover a rectangular floor 13m by 10m?
Floor planDiagram not to scaleShow worked answer
Answer: 130
- Area counts square units covering the floor.
- 13×10=130 square metres.
Example 3
An L-shaped floor is made by removing a 5m by 5m corner rectangle from a 12m by 7m rectangle. What is the remaining area in square metres?
L-shaped floorDiagram not to scaleShow worked answer
Answer: 59
- Whole rectangle: 12×7=84m2.
- Removed corner: 5×5=25m2.
- Remaining area =84−25=59m2.
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