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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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2600 c m 2

7600 c m 2

5600 c m 2

4600 c m 2

answer is B.

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Detailed Solution

Given a rectangular sheet of tin, of size 100 cm by 80 cm.
From a rectangular sheet of tin of size 100 cm by 80 cm are cut four squares of side 10 cm from each...

From a rectangular sheet of tin of size 100 cm by 80 cm are cut four squares of side 10 cm from each...

Area of the rectangular sheet of tin is,

A = l e n g t h × b r e a d t h ⇒ A = 100 c m × 80 cm

⇒ A = 8000 c m 2

Area of one square at the corner of the sheet is,

⇒ A = (10 cm) 2

⇒ A = 100 cm 2

Area of four squares at the corner of the sheet is,

⇒ A = 4 × 100 cm 2

⇒ A = 400 cm 2

Area of the remaining sheet of tin is,
A = Area of the rectangular sheet – Area of the 4 squares

⇒ A = (8000 − 400) cm 2

⇒ A = 7600 cm 2

Therefore, the area is

7600 c m 2

.
Hence, option 2 is correct.

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