A community centre displays a rectangular bulletin board and a square noticeboard side by side. The rectangular board is 120 cm long and 80 cm wide. The square noticeboard has the same perimeter as the rectangular bulletin board. What is the area of the square noticeboard?
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Worked Solution
Step 1: Find the perimeter of the rectangular bulletin board.
Perimeter = 2 × (length + width)
Perimeter = 2 × (120 + 80)
Perimeter = 2 × 200
Perimeter = 400 cm
Step 2: The square noticeboard has the same perimeter (400 cm).
A square has 4 equal sides.
Side of square = 400 ÷ 4 = 100 cm
Step 3: Find the area of the square noticeboard.
Area = side × side
Area = 100 × 100
Area = 10 000 cm²
The area of the square noticeboard is 10 000 cm².
Correct answer: 10 000 cm²
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