A square has the same perimeter as a rectangle that is 10 cm long and 6 cm wide. What is the area of the square?
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Worked Solution
Step 1: Find the perimeter of the rectangle.
Perimeter = 2 × (length + width) = 2 × (10 + 6) = 2 × 16 = 32 cm
Step 2: The square has the same perimeter, so the square's perimeter = 32 cm.
Step 3: A square has 4 equal sides, so each side = 32 ÷ 4 = 8 cm.
Step 4: Area of square = side × side = 8 × 8 = 64 cm²
Answer: 64 cm²
Correct answer: 64 cm²
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