Question

a rectanglar acrylic sheet is 36cm by 25cm. from it, 56 circular buttons, each of diameter 3.5cm have been cut out. find the area of the remaining sheet.
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Answer 1

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Answer 2

Answer :-

• The area of remaining sheet = 361cm²

Given :-

• The Length and breadth of acrylic sheet is 25 cm and 36 cm respectively.

• Total buttons cut out from the sheet = 3.5 cm and diameter of the given sheet = 3.5cm.

Find :-

• Find the area of the remaining sheet

Solution :-

As we know the sheet is in rectangular shape

So, it's = Length × Breadth

From given :-

• Length = 25cm
• Breadth = 36 cm

Now, Area of sheet = 25 × 35

Area of sheet will be 900 cm²

As we know button is in circular shape

So, Area of button = πr²

From given.

Diameter of button = 3.5 cm

Radius of 1 button = 3.5/2 = 7/4cm

Now, Area of button = 22/7 × 7/4 × 7/4

Area of button = 9.625cm²

So, Area of 56 button will be 56 × 9.625 = 539cm²

Then, to find area of remaining sheet

Simply subtracting the area of button from total area of sheet

Area of remaining sheet = Area of sheet - Area of 56 buttons

900 - 539 = 361cm²

Therefore,

The area of remaining sheet = 361cm²$.$