Question

A rectangular cardboard is of dimensions 18 cm
x 10 cm. From the four corners of the rectangle
quarter circles of radius 4 cm are cut. What is the
perimeter (approximate) of the remaining portion?​

Answer 1

Answer:

2(l+b)-4(4+4)+2πr

2(18+10)-32+8π

2(28)-32+8π

56-32+8(3.14)

24+25.12

49.12cm

Answer 2

The required perimeter is 30.88 cm.

Step-by-step explanation:

Since we have given that

Dimension of rectangular cardboard = 18 cm by 10 cm

So, Area of rectangular cardboard would be

$2\times (length+breadth)\\\\=2(18+10)\\\\=2\times 28=56\ cm$

Radius of circle = 4 cm

As we know that

Four quarters of circle makes a circle.

So, Area of circle would be

$2\pi r=2\times 3.14\times 4=25.12\ cm$

So, Perimeter of remaining portion would be

$56-25.12=30.88\ cm$

Hence, the required perimeter is 30.88 cm.

# learn more:

A rectangular cardboard is 18 cm into 10 cm from the four corners of a rectangle quarter circles of radius 4 centimetre what is the perimeter of the remaining portion​

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