Length and breadth of a rectangular sheet of paper are 20cm and10cm, respectively. A rectangular piece is cut from the sheet as shown in Fig. 6.6. Which of the following statements is correct for the remaining sheet?

Question

Philoid · Accepted Answer

Perimeter of the rectangle = 2× (l + b)

Area of the rectangle = l × b

After looking at the formula it can be interpreted as that the area depend upon the length and breadth of the rectangle.

Perimeter of old rectangle = 2 × (l + b)

= 2 × (20 + 10)

= 60 cm

Perimeter of new figure = 20 + 10 + 15 + 2 + 5 + 8

= 60 cm.

So perimeter remains same.

Area will change because the new figure’s area = Area of old rectangle – Area of smaller rectangle

So correct answer is A.