Question

$\large\red{\frak{Question}}$
If a rectangular piece of dimensions 3cm x 2cm is cut from one corner of a rectangular sheets of dimensions 10cm x 6cm and attached to its side projection out of the rectangle, what will be the change in perimeter of the new shape thus formed?
$\large\red{\bf{It's \: \: Divya}}$
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Answer 1

Step-by-step explanation:

The original rectangle of sides 10 cm and 6 cm has a perimeter = 2(10+6) = 32 cm.

By cutting a rectangular piece of 3 cm x 2 cm the perimeter becomes 10+6+7+4 = 27 cm.

Case 1: By attaching the 3 cm x 2 cm piece to one side of the rectangle such that the 3 cm side is attached to the rectangle, the new perimeter = 27+2+3+2 = 34 cm.

In this case the perimeter increases by 2 cm,

Case 2: By attaching the 3 cm x 2 cm piece to one side of the rectangle such that the 2cm side is attached to the rectangle, the new perimeter = 27+3+2+3 = 35 cm.

In this case the perimeter increases by 3 cm,

Answer 2

Answer:

Given, Area of bigger rectangle =(6×5)cm=30cm^2

Area of smaller rectangle =(3×2)cm=6cm^2

Therefore, area of remaining sheet of paper=Area of bigger rectangle − Area of smaller rectangle

=(30−6)=24cm^2