A square piece of cardboard has a perimeter of 52 cm. Ravi cuts a smaller square of side 4 cm from one corner of the cardboard. What is the area of the remaining piece of cardboard?
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Worked Solution
Step 1: Find the side length of the large square.
Perimeter = 4 x side
52 = 4 x side
Side = 52 / 4 = 13 cm
Step 2: Find the area of the large square.
Area = 13 x 13 = 169 cm²
Step 3: Find the area of the small square cut from the corner.
Area = 4 x 4 = 16 cm²
Step 4: Subtract.
Remaining area = 169 - 16 = 153 cm²
Answer: The area of the remaining piece is 153 cm².
Correct answer: 153 cm²
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