Area and Perimeter questions will certainly be tested in SA2. There are many types of challenging Area and Perimeter questions that can be tested. We have identified one of them.
<<Concept: Area and Perimeter that involve frames>>
Question: John had a rectangular pool with an area of 48 m². The length of the pool was thrice the breadth of the pool. He decided to build a pebble pathway with a width of 1 m around the pool. What would be the area of the pebble path?
Step 1: 48 cm² ÷ 3 = 16 cm² (Explanation: since the length of the pool is 3 times the breath, we can conclude that the area of pool is made up of 3 equal squares of area 16 cm²)
Step 2: 16 cm² = 4 cm x 4 cm (Explanation: If the area of a square is 16 cm², it's side is 4 cm)
Step 3: 4 x 3 cm = 12 cm (Explanation: length of the pool)
Step 4: 12 cm + 1 cm + 1 cm = 14 cm (Explanation: length of the outer area)
Step 5: 4 cm + 1 cm + 1 cm = 6 cm (Explanation: breadth of the outer area)
Step 6: 14 cm x 6 cm = 84 cm² (Explanation:Total outer area)
Step 7: 84 cm² − 48 cm² = 36 cm² (Explanation:Area of pebble path is the difference between the total outer area and the area of the pool)