Question

A rectangular sheet of plastic is 40 cm by 25 cm. From it 50 circular badges, each of diameter 4.2 cm, have been cut out. Find the area of the remaining sheet.​

Answer 1

Answer:

Area of the acrylic sheet = 34 cm  × 24 cm = 816 cm2

Given that the diameter of a circular button is 3.5 cm.

∴ Radius of the circular button (r)=  cm = 1.75 cm

∴ Area of 1 circular button = 

                                                 =  cm2

                                                 = 9.625 cm2

∴ Area of 64 such buttons = (64  × 9.625) cm2 = 616 cm2

Area of the remaining acrylic sheet = (Area of the acrylic sheet - Area of 64 circular buttons)

                                                                    = (816 - 616) cm2 = 200 cm2

Answer 2

▁ ▂ ▄ ▅ ▆ ▇ █ SOLUTION █ ▇ ▆ ▅ ▄ ▂ ▁

✺GIVEN✺

✪lenght of rectangle=40cm

✪breadht of rectangle=25cm

✪diameter of circle=4.2cm

✪radius of circle=4.2/2=2.1cm

❁Find=the area of remaining sheet

•as per the given information•

❁Area of rectangular sheet=40*25

=1000cm²

Given in the question from the rectangular sheet

50 circular badges have been cut

❁The area of the circular badges

$↪\pi \: {r}^{2} \\ \\ ↪ \frac{22}{7} \times 2.1 \times 2.1 \\ \\ ↪22 \times 2.1 \times 0.3 \\ \\ ↪14.52$

❁The area of 50 circular badges=50*14.52

=726cm²

Hence

❁the area of remaining sheet=1000-726

=274cm²