From a rectangular sheet of tin, of size 100 cm by 80 cm, are cut four squares of side 10 cm from each corner. Find the area of the remaining sheet.

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Solution

We have,

Length of the rectangular sheet = 100 cm
Breadth of the rectangular sheet = 80 cm
Area of the rectangular sheet of tin = 100 cm x 80 cm = 8000 cm²
Side of the square at the corner of the sheet = 10 cm
Area of one square at the corner of the sheet = (10 cm)² = 100 cm²
∴ Area of 4 squares at the corner of the sheet = 4 x 100 cm²= 400 cm²
Hence,
Area of the remaining sheet of tin =Area of the rectangular sheet − Area of the 4 squares
Area of the remaining sheet of tin = (8000− 400) cm²
= 7600 cm²

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