Question

the length and breadth of a rectangular sheet of paper are 20cm and 10cm, respectively. A rectangular piece is cut from the sheet as 2cm and 6cm. what is the area and perimeter of the remaining sheet?​

Answer 1

The area of the remaining paper is 188 square cm and the perimeter is 44 cm after a rectangular piece of 2cm by 6cm was cut out.

Step-by-step explanation:

Given the dimensions of the original sheet are 20cm (length) and 10cm (breadth), the area of this rectangle is calculated by multiplying the length and the breadth. So, the area is 20cm * 10cm = 200cm2. The piece which is cut out has dimensions 2cm (length) by 6cm (breadth). So, its area is 2cm * 6cm = 12cm2. Now, the area of the remaining part of the sheet is obtained by subtracting the area of the cut out piece from the original area. So, 200cm2 - 12cm2 = 188cm2.

Next, consider the perimeter calculation. Original perimeter is 2 * (20cm + 10cm) = 60cm. After the piece is cut out, the length and breadth of the remaining portion becomes 18cm and 4cm, respectively. So, the new perimeter becomes 2 * (18cm + 4cm) = 44cm

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