Q.

The perimeter of a rectangular metal sheet is 280 cm. If its length is 80 cm, then what is the area of the metal sheet?

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a

4800 cm2

b

4400 cm2

c

4000 cm2

d

5200 cm2

answer is C.

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Detailed Solution

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The perimeter of the rectangular metal sheet = 280 cm.

The length of the rectangular metal sheet = 80 cm.

Perimeter of rectangle = 2(length + breadth) 

∴ 2(length + breadth) = 280 cm

⇒ length + breadth = 2802 = 140 cm

⇒ 80 + breadth = 140 cm

∴ Breadth = 140 cm − 80 cm = 60 cm

Area of the rectangular metal sheet = length × breadth 

                                                                       = 80 cm × 60 cm 

                                                                       = 4800 cm2.

 

The area of the rectangular metal sheet is 4800 cm2.

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