Question

From a rectangular sheet of plastic of length 40 cm and breadth 25 cm, 50 circular badges, each of diameter 4.2cm,
have been cut out. Find the area of the remaining sheet.​

Answer 1

The area of the remaining sheet after cutting out 50 circular badges from the rectangular plastic sheet is 307 cm².

Step-by-step explanation:

The dimension of the rectangular sheet of plastic:

Length, l = 40 cm

Breadth, b = 25 cm

∴ Area of the rectangular sheet of plastic = l × b = 40 × 25 = 1000 cm²

The dimension of the each circular badges:

Diameter = 4.2 cm

∴ Radius, r = $\frac{Diameter}{2} = \frac{4.2}{2}$ = 2.1 cm

Since it is given that 50 such circular badges are cut out from the rectangular sheet

∴ Area of 50 circular badges = 50 × πr² = 50×$\frac{22}{7}$×2.1×2.1 = 693 cm²

Thus,

The area of the remaining sheet is given by,

= [Area of the rectangular sheet of plastic] - [Area of 50 circular badges]

= 1000 cm² - 693 cm²

= 307 cm²

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Answer 2

Answer:

area of triangle=l×b

40×25=1000

radius =diameter/2=2.1

area of circle=pi.r²

50×22/7×2.1×2.1

=693

1000-693=307cm²