Question

a rectangular acrylic sheet is36 cm and 25cm. from it,56circular buttons , each of diameter 3.5cm have been cut out find the area of the remaining sheet​

Answer 1

Given :-

Length of the sheet = 25cm

Breath of the sheet = 36cm

Total buttons cut out from the sheet = 3.5 cm

Diameter of the sheet = 3.5cm

Solution :-

• Area of rectangle

= Length * Breath

Put the required values in the formula,

Here, Length = 25cm, Breath = 36 cm

Area of sheet = 25 * 35

Area of sheet = 900 cm^2

• Area of circle = πr^2

Put the required values in the formula,

Here , Diameter of 1 button

= 3.5 cm

Therefore, Radius of 1 button

= 3.5/2 = 7/4cm

Area of 1 button = 22/7 * 7/4 * 7/4

Area of 1 button = 9.625cm^2

Now,

Area of 56 button = 56 * 9.625 = 539cm^2

Now, We have to find area of remaining sheet

Here, We know

Area of sheet = 900cm^2

Area of 56 buttons cut out from the sheet

= 539cm^2

Therefore,

Area of remaining sheet

= Area of sheet - Area of 56 buttons

Put the required values,

Area of sheet = 900 - 539 = 361cm^2

Hence, The area of remaining sheet = 361cm^2 $.$

Answer 2

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$.$