Question

A rectangular sheet of acrylic is 34cm by 24cm.From it,64
circular buttons,each of diameter 3.5cm,have been
cut out.Find the area of the remaining sheet.

Answer 1

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Answer 2

SOLUTION :

The length and breadth of a rectangular acrylic sheet = 34 cm and 24 cm

So,

We know that,

Area of rectangle = lb unit sq.

[ In which l is the length and b is the breadth of the rectangle ]

So,

Area of the rectangular acrylic sheet = 34 × 24

                                                             = 816 cm sq.

According to the question,

From the rectangular sheet 64 circular buttons having diameter 3.5 cm each were cut

Radius of each circular button = 3.5 ÷ 2     [ as radius = diameter ÷ 2 ]

                                                   = 1.75 cm

Now,

Area of the circular buttons = $\pi r^{2}$ cm sq.

                                              = 22/7 × 1.75 × 1.75

                                              = 9.625 cm sq.

Now,

Area of 64 such circular buttons = 9.625 × 64 = 616 cm sq.

Now,

The area left after cutting 64 circular buttons from the rectangular sheet

= Area of the rectangular sheet - Area of the 64 circular buttons

= 816 - 616

= 200 cm sq.

Hence,

The remaining area is 200 cm sq.