Advanced Mathematics Primary 3 Area and Perimeter

Two rectangles have the same perimeter of 20 cm. Rectangle A is 6 cm x 4 cm. Rectangle B is 7 cm x 3 cm. Which statement is true?

A Rectangle A has a larger area than Rectangle B
B Rectangle B has a larger area than Rectangle A
C Both rectangles have the same area
D The areas cannot be compared
Show Worked Solution

Worked Solution

Step 1: Area of Rectangle A = 6 x 4 = 24 cm². Step 2: Area of Rectangle B = 7 x 3 = 21 cm². Step 3: 24 > 21, so Rectangle A has a larger area. Key learning: shapes with the same perimeter can have different areas.

Correct answer: Rectangle A has a larger area than Rectangle B

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