Question

13) The length and breadth of a rectangle are 8 cm
and 6 cm respectively. What will be the area of
the rectangle
(1) the length is doubled and the breadth
remains the same
(b) the length is doubled and the breadth is
halved
(1) the length is increased by 2 cm and the
breadth is decreased by 2 cm!
(iv) the length alone is decreased by 2 cm?
What is this rectangle called​

Answer 1

Answer:

Area of rectangle = L × B

= 8 × 6

= 48cm

Answer 2

The length and breadth of a rectangle are 8 cm

and 6 cm respectively. What will be the area of

the rectangle

(1) the length is doubled and the breadth

remains the same

(b) the length is doubled and the breadth is

halved

(1) the length is increased by 2 cm and the

breadth is decreased by 2 cm!

(iv) the length alone is decreased by 2 cm?

What is this rectangle called

Step-by-step explanation:

Let length of and breadth of a rectangle are xcm and ycm

⇒ Area of a rectangle =length×breadth

=xy

⇒ Area of a rectangle =xycm

2

---- ( 1 )

Now, when length and breadth gets double.

The length and breadth becomes 2x and 2y

⇒ Area of a rectangle =2x×2y

=4xycm

2

⇒ Area of a rectangle=4xycm

2

--- ( 2 )

Comparing ( 1 ) and ( 2 ) we can see,

⇒ If the length and the breadth of a rectangle are doubled then its area becomes 4 times.