Question

Tanya needed a square of side 4 cm for completing a collage. She had a
rectangular sheet of length 28 cm and breadth 21 cm (Fig 11. 1). She cuts of
a square of side 4 cm from the rectangular sheet. Her friend saw the remaining
sheet (Fig 11.2) and asked Tanya, "Has the perimeter of the sheet increased
Perimeter of a rectangle = 2 x (1 + b)
Area of a rectangle = 1x b, Area of a square = side x sidev
Fig 11.1

or decreased now?"
Has the total length of side AD increased after cutting off the square?
Has the area increased or decreased?

Fig 11.2

Tanya cuts off one more square from the opposite side (Fig 11.3).

Will the perimeter of the remaining sheet increase further?
Will the area increase or decrease further?
So, what can we infer from this?

It is clear that the increase of perimeter need not lead to increase in area.
Fig 11.3​

Answer 1

Step-by-step explanation:

when a square is cut off from a rectangular sheet the perimeter will remain same but the area will decrease. if we cut off one more square from the rectangular sheet the perimeter will remains same but the area will decrease more. the area will decrease futher if we keep on cutting square from rectangular sheet